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Finding the Fourth Proportional to 413,794.24, 571,035.84 and 232,506.88

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Solution

The fourth proportional to 413,794.24, 571,035.84 and 232,506.88 is: 320,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,794.24 : 571,035.84 = 232,506.88 : x
  2. Step 2: Convert to fraction form
    413,794.24/571,035.84 = 232,506.88/x
  3. Step 3: Cross multiply
    413,794.24x = 571,035.84 × 232,506.88
  4. Step 4: Simplify right side
    413,794.24x = 132,769,761,526.58
  5. Step 5: Solve for x
    x = 132,769,761,526.58/413,794.24
  6. Step 6: Final answer
    x = 320,859.38

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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.