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Finding the Fourth Proportional to 305,001.92, 457,633.92 and 147,348.32

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Solution

The fourth proportional to 305,001.92, 457,633.92 and 147,348.32 is: 221,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,001.92 : 457,633.92 = 147,348.32 : x
  2. Step 2: Convert to fraction form
    305,001.92/457,633.92 = 147,348.32/x
  3. Step 3: Cross multiply
    305,001.92x = 457,633.92 × 147,348.32
  4. Step 4: Simplify right side
    305,001.92x = 67,431,589,287.01
  5. Step 5: Solve for x
    x = 67,431,589,287.01/305,001.92
  6. Step 6: Final answer
    x = 221,085.79

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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.