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Finding the Fourth Proportional to 647,687.40, 971,531.10 and 471,431.40

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Solution

The fourth proportional to 647,687.40, 971,531.10 and 471,431.40 is: 707,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,687.40 : 971,531.10 = 471,431.40 : x
  2. Step 2: Convert to fraction form
    647,687.40/971,531.10 = 471,431.40/x
  3. Step 3: Cross multiply
    647,687.40x = 971,531.10 × 471,431.40
  4. Step 4: Simplify right side
    647,687.40x = 458,010,266,616.54
  5. Step 5: Solve for x
    x = 458,010,266,616.54/647,687.40
  6. Step 6: Final answer
    x = 707,147.10

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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.