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Finding the Fourth Proportional to 527,463.24, 791,324.46 and 153,489.48

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Solution

The fourth proportional to 527,463.24, 791,324.46 and 153,489.48 is: 230,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,463.24 : 791,324.46 = 153,489.48 : x
  2. Step 2: Convert to fraction form
    527,463.24/791,324.46 = 153,489.48/x
  3. Step 3: Cross multiply
    527,463.24x = 791,324.46 × 153,489.48
  4. Step 4: Simplify right side
    527,463.24x = 121,459,979,876.68
  5. Step 5: Solve for x
    x = 121,459,979,876.68/527,463.24
  6. Step 6: Final answer
    x = 230,271.93

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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.