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Finding the Fourth Proportional to 425,198.72, 586,752.72 and 234,207.92

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Solution

The fourth proportional to 425,198.72, 586,752.72 and 234,207.92 is: 323,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,198.72 : 586,752.72 = 234,207.92 : x
  2. Step 2: Convert to fraction form
    425,198.72/586,752.72 = 234,207.92/x
  3. Step 3: Cross multiply
    425,198.72x = 586,752.72 × 234,207.92
  4. Step 4: Simplify right side
    425,198.72x = 137,422,134,105.54
  5. Step 5: Solve for x
    x = 137,422,134,105.54/425,198.72
  6. Step 6: Final answer
    x = 323,195.08

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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.