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Finding the Fourth Proportional to 497,294.08, 745,946.32 and 398,084.92

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Solution

The fourth proportional to 497,294.08, 745,946.32 and 398,084.92 is: 597,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,294.08 : 745,946.32 = 398,084.92 : x
  2. Step 2: Convert to fraction form
    497,294.08/745,946.32 = 398,084.92/x
  3. Step 3: Cross multiply
    497,294.08x = 745,946.32 × 398,084.92
  4. Step 4: Simplify right side
    497,294.08x = 296,949,981,121.49
  5. Step 5: Solve for x
    x = 296,949,981,121.49/497,294.08
  6. Step 6: Final answer
    x = 597,131.54

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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.