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Finding the Fourth Proportional to 417,972.59, 576,978.78 and 282,190.49

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Solution

The fourth proportional to 417,972.59, 576,978.78 and 282,190.49 is: 389,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,972.59 : 576,978.78 = 282,190.49 : x
  2. Step 2: Convert to fraction form
    417,972.59/576,978.78 = 282,190.49/x
  3. Step 3: Cross multiply
    417,972.59x = 576,978.78 × 282,190.49
  4. Step 4: Simplify right side
    417,972.59x = 162,817,921,762.91
  5. Step 5: Solve for x
    x = 162,817,921,762.91/417,972.59
  6. Step 6: Final answer
    x = 389,542.11

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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.