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Finding the Fourth Proportional to 591,744.48, 887,529.24 and 217,680

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Solution

The fourth proportional to 591,744.48, 887,529.24 and 217,680 is: 326,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,744.48 : 887,529.24 = 217,680 : x
  2. Step 2: Convert to fraction form
    591,744.48/887,529.24 = 217,680/x
  3. Step 3: Cross multiply
    591,744.48x = 887,529.24 × 217,680
  4. Step 4: Simplify right side
    591,744.48x = 193,197,364,963.20
  5. Step 5: Solve for x
    x = 193,197,364,963.20/591,744.48
  6. Step 6: Final answer
    x = 326,487.82

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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.