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Finding the Fourth Proportional to 413,711.36, 570,921.72 and 232,423.28

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Solution

The fourth proportional to 413,711.36, 570,921.72 and 232,423.28 is: 320,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,711.36 : 570,921.72 = 232,423.28 : x
  2. Step 2: Convert to fraction form
    413,711.36/570,921.72 = 232,423.28/x
  3. Step 3: Cross multiply
    413,711.36x = 570,921.72 × 232,423.28
  4. Step 4: Simplify right side
    413,711.36x = 132,695,498,785.64
  5. Step 5: Solve for x
    x = 132,695,498,785.64/413,711.36
  6. Step 6: Final answer
    x = 320,744.15

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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.