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Finding the Fourth Proportional to 284,046.86, 392,126.70 and 176,651.48

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Solution

The fourth proportional to 284,046.86, 392,126.70 and 176,651.48 is: 243,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,046.86 : 392,126.70 = 176,651.48 : x
  2. Step 2: Convert to fraction form
    284,046.86/392,126.70 = 176,651.48/x
  3. Step 3: Cross multiply
    284,046.86x = 392,126.70 × 176,651.48
  4. Step 4: Simplify right side
    284,046.86x = 69,269,761,902.52
  5. Step 5: Solve for x
    x = 69,269,761,902.52/284,046.86
  6. Step 6: Final answer
    x = 243,867.37

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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.