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Finding the Fourth Proportional to 467,537.82, 645,205.14 and 252,677.38

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Solution

The fourth proportional to 467,537.82, 645,205.14 and 252,677.38 is: 348,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,537.82 : 645,205.14 = 252,677.38 : x
  2. Step 2: Convert to fraction form
    467,537.82/645,205.14 = 252,677.38/x
  3. Step 3: Cross multiply
    467,537.82x = 645,205.14 × 252,677.38
  4. Step 4: Simplify right side
    467,537.82x = 163,028,744,337.73
  5. Step 5: Solve for x
    x = 163,028,744,337.73/467,537.82
  6. Step 6: Final answer
    x = 348,696.38

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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.