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Finding the Fourth Proportional to 859,646.32, 1,186,338.64 and 472,454.72

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Solution

The fourth proportional to 859,646.32, 1,186,338.64 and 472,454.72 is: 652,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,646.32 : 1,186,338.64 = 472,454.72 : x
  2. Step 2: Convert to fraction form
    859,646.32/1,186,338.64 = 472,454.72/x
  3. Step 3: Cross multiply
    859,646.32x = 1,186,338.64 × 472,454.72
  4. Step 4: Simplify right side
    859,646.32x = 560,491,289,986.38
  5. Step 5: Solve for x
    x = 560,491,289,986.38/859,646.32
  6. Step 6: Final answer
    x = 652,002.20

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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.