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Finding the Fourth Proportional to 523,920, 723,126.24 and 332,896.08

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Solution

The fourth proportional to 523,920, 723,126.24 and 332,896.08 is: 459,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,920 : 723,126.24 = 332,896.08 : x
  2. Step 2: Convert to fraction form
    523,920/723,126.24 = 332,896.08/x
  3. Step 3: Cross multiply
    523,920x = 723,126.24 × 332,896.08
  4. Step 4: Simplify right side
    523,920x = 240,725,890,641.14
  5. Step 5: Solve for x
    x = 240,725,890,641.14/523,920
  6. Step 6: Final answer
    x = 459,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.