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Finding the Fourth Proportional to 531,881.10, 734,091.12 and 317,035.08

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Solution

The fourth proportional to 531,881.10, 734,091.12 and 317,035.08 is: 437,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,881.10 : 734,091.12 = 317,035.08 : x
  2. Step 2: Convert to fraction form
    531,881.10/734,091.12 = 317,035.08/x
  3. Step 3: Cross multiply
    531,881.10x = 734,091.12 × 317,035.08
  4. Step 4: Simplify right side
    531,881.10x = 232,732,636,956.49
  5. Step 5: Solve for x
    x = 232,732,636,956.49/531,881.10
  6. Step 6: Final answer
    x = 437,565.16

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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.