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Finding the Fourth Proportional to 411,061.92, 567,337.65 and 239,033.10

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Solution

The fourth proportional to 411,061.92, 567,337.65 and 239,033.10 is: 329,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,061.92 : 567,337.65 = 239,033.10 : x
  2. Step 2: Convert to fraction form
    411,061.92/567,337.65 = 239,033.10/x
  3. Step 3: Cross multiply
    411,061.92x = 567,337.65 × 239,033.10
  4. Step 4: Simplify right side
    411,061.92x = 135,612,477,226.22
  5. Step 5: Solve for x
    x = 135,612,477,226.22/411,061.92
  6. Step 6: Final answer
    x = 329,907.66

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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.