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Finding the Fourth Proportional to 532,092.24, 797,535.72 and 177,022.80

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Solution

The fourth proportional to 532,092.24, 797,535.72 and 177,022.80 is: 265,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,092.24 : 797,535.72 = 177,022.80 : x
  2. Step 2: Convert to fraction form
    532,092.24/797,535.72 = 177,022.80/x
  3. Step 3: Cross multiply
    532,092.24x = 797,535.72 × 177,022.80
  4. Step 4: Simplify right side
    532,092.24x = 141,182,006,254.42
  5. Step 5: Solve for x
    x = 141,182,006,254.42/532,092.24
  6. Step 6: Final answer
    x = 265,333.71

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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.