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Finding the Fourth Proportional to 563,146.76, 777,198.30 and 321,465.71

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Solution

The fourth proportional to 563,146.76, 777,198.30 and 321,465.71 is: 443,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,146.76 : 777,198.30 = 321,465.71 : x
  2. Step 2: Convert to fraction form
    563,146.76/777,198.30 = 321,465.71/x
  3. Step 3: Cross multiply
    563,146.76x = 777,198.30 × 321,465.71
  4. Step 4: Simplify right side
    563,146.76x = 249,842,603,320.29
  5. Step 5: Solve for x
    x = 249,842,603,320.29/563,146.76
  6. Step 6: Final answer
    x = 443,654.52

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.