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Finding the Fourth Proportional to 413,397.60, 619,578.76 and 176,462.88

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Solution

The fourth proportional to 413,397.60, 619,578.76 and 176,462.88 is: 264,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,397.60 : 619,578.76 = 176,462.88 : x
  2. Step 2: Convert to fraction form
    413,397.60/619,578.76 = 176,462.88/x
  3. Step 3: Cross multiply
    413,397.60x = 619,578.76 × 176,462.88
  4. Step 4: Simplify right side
    413,397.60x = 109,332,652,376.43
  5. Step 5: Solve for x
    x = 109,332,652,376.43/413,397.60
  6. Step 6: Final answer
    x = 264,473.36

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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.