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Finding the Fourth Proportional to 472,722, 708,685.28 and 219,874.02

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Solution

The fourth proportional to 472,722, 708,685.28 and 219,874.02 is: 329,626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,722 : 708,685.28 = 219,874.02 : x
  2. Step 2: Convert to fraction form
    472,722/708,685.28 = 219,874.02/x
  3. Step 3: Cross multiply
    472,722x = 708,685.28 × 219,874.02
  4. Step 4: Simplify right side
    472,722x = 155,821,481,428.43
  5. Step 5: Solve for x
    x = 155,821,481,428.43/472,722
  6. Step 6: Final answer
    x = 329,626.04

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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.