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Finding the Fourth Proportional to 704,074.96, 971,411.16 and 431,863.12

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Solution

The fourth proportional to 704,074.96, 971,411.16 and 431,863.12 is: 595,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,074.96 : 971,411.16 = 431,863.12 : x
  2. Step 2: Convert to fraction form
    704,074.96/971,411.16 = 431,863.12/x
  3. Step 3: Cross multiply
    704,074.96x = 971,411.16 × 431,863.12
  4. Step 4: Simplify right side
    704,074.96x = 419,516,654,360.42
  5. Step 5: Solve for x
    x = 419,516,654,360.42/704,074.96
  6. Step 6: Final answer
    x = 595,840.90

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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.