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Finding the Fourth Proportional to 472,730, 708,697.26 and 219,882.02

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Solution

The fourth proportional to 472,730, 708,697.26 and 219,882.02 is: 329,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,730 : 708,697.26 = 219,882.02 : x
  2. Step 2: Convert to fraction form
    472,730/708,697.26 = 219,882.02/x
  3. Step 3: Cross multiply
    472,730x = 708,697.26 × 219,882.02
  4. Step 4: Simplify right side
    472,730x = 155,829,785,097.27
  5. Step 5: Solve for x
    x = 155,829,785,097.27/472,730
  6. Step 6: Final answer
    x = 329,638.03

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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.