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Finding the Fourth Proportional to 500,737.52, 749,906.10 and 256,937.01

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Solution

The fourth proportional to 500,737.52, 749,906.10 and 256,937.01 is: 384,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,737.52 : 749,906.10 = 256,937.01 : x
  2. Step 2: Convert to fraction form
    500,737.52/749,906.10 = 256,937.01/x
  3. Step 3: Cross multiply
    500,737.52x = 749,906.10 × 256,937.01
  4. Step 4: Simplify right side
    500,737.52x = 192,678,629,266.13
  5. Step 5: Solve for x
    x = 192,678,629,266.13/500,737.52
  6. Step 6: Final answer
    x = 384,789.68

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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.