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Finding the Fourth Proportional to 412,874.82, 569,658.42 and 238,402.04

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Solution

The fourth proportional to 412,874.82, 569,658.42 and 238,402.04 is: 328,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,874.82 : 569,658.42 = 238,402.04 : x
  2. Step 2: Convert to fraction form
    412,874.82/569,658.42 = 238,402.04/x
  3. Step 3: Cross multiply
    412,874.82x = 569,658.42 × 238,402.04
  4. Step 4: Simplify right side
    412,874.82x = 135,807,726,582.89
  5. Step 5: Solve for x
    x = 135,807,726,582.89/412,874.82
  6. Step 6: Final answer
    x = 328,931.97

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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.