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Finding the Fourth Proportional to 511,572.23, 767,227.41 and 151,658.92

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Solution

The fourth proportional to 511,572.23, 767,227.41 and 151,658.92 is: 227,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,572.23 : 767,227.41 = 151,658.92 : x
  2. Step 2: Convert to fraction form
    511,572.23/767,227.41 = 151,658.92/x
  3. Step 3: Cross multiply
    511,572.23x = 767,227.41 × 151,658.92
  4. Step 4: Simplify right side
    511,572.23x = 116,356,875,800.57
  5. Step 5: Solve for x
    x = 116,356,875,800.57/511,572.23
  6. Step 6: Final answer
    x = 227,449.56

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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.