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Finding the Fourth Proportional to 508,732.13, 763,114.49 and 255,874.61

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Solution

The fourth proportional to 508,732.13, 763,114.49 and 255,874.61 is: 383,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,732.13 : 763,114.49 = 255,874.61 : x
  2. Step 2: Convert to fraction form
    508,732.13/763,114.49 = 255,874.61/x
  3. Step 3: Cross multiply
    508,732.13x = 763,114.49 × 255,874.61
  4. Step 4: Simplify right side
    508,732.13x = 195,261,617,419.15
  5. Step 5: Solve for x
    x = 195,261,617,419.15/508,732.13
  6. Step 6: Final answer
    x = 383,820.10

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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.