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Finding the Fourth Proportional to 296,506.38, 444,548.15 and 138,648.72

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Solution

The fourth proportional to 296,506.38, 444,548.15 and 138,648.72 is: 207,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,506.38 : 444,548.15 = 138,648.72 : x
  2. Step 2: Convert to fraction form
    296,506.38/444,548.15 = 138,648.72/x
  3. Step 3: Cross multiply
    296,506.38x = 444,548.15 × 138,648.72
  4. Step 4: Simplify right side
    296,506.38x = 61,636,030,655.43
  5. Step 5: Solve for x
    x = 61,636,030,655.43/296,506.38
  6. Step 6: Final answer
    x = 207,874.22

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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.