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Finding the Fourth Proportional to 474,766.96, 712,148.28 and 194,284.24

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Solution

The fourth proportional to 474,766.96, 712,148.28 and 194,284.24 is: 291,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,766.96 : 712,148.28 = 194,284.24 : x
  2. Step 2: Convert to fraction form
    474,766.96/712,148.28 = 194,284.24/x
  3. Step 3: Cross multiply
    474,766.96x = 712,148.28 × 194,284.24
  4. Step 4: Simplify right side
    474,766.96x = 138,359,187,347.11
  5. Step 5: Solve for x
    x = 138,359,187,347.11/474,766.96
  6. Step 6: Final answer
    x = 291,425.48

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.