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Finding the Fourth Proportional to 437,940.34, 604,454.42 and 284,711.83

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Solution

The fourth proportional to 437,940.34, 604,454.42 and 284,711.83 is: 392,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,940.34 : 604,454.42 = 284,711.83 : x
  2. Step 2: Convert to fraction form
    437,940.34/604,454.42 = 284,711.83/x
  3. Step 3: Cross multiply
    437,940.34x = 604,454.42 × 284,711.83
  4. Step 4: Simplify right side
    437,940.34x = 172,095,324,069.79
  5. Step 5: Solve for x
    x = 172,095,324,069.79/437,940.34
  6. Step 6: Final answer
    x = 392,965.22

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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.