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Finding the Fourth Proportional to 437,299.75, 656,002.18 and 413,384.91

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Solution

The fourth proportional to 437,299.75, 656,002.18 and 413,384.91 is: 620,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,299.75 : 656,002.18 = 413,384.91 : x
  2. Step 2: Convert to fraction form
    437,299.75/656,002.18 = 413,384.91/x
  3. Step 3: Cross multiply
    437,299.75x = 656,002.18 × 413,384.91
  4. Step 4: Simplify right side
    437,299.75x = 271,181,400,195.83
  5. Step 5: Solve for x
    x = 271,181,400,195.83/437,299.75
  6. Step 6: Final answer
    x = 620,127.04

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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.