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Finding the Fourth Proportional to 500,175.38, 690,242.06 and 273,820.88

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Solution

The fourth proportional to 500,175.38, 690,242.06 and 273,820.88 is: 377,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,175.38 : 690,242.06 = 273,820.88 : x
  2. Step 2: Convert to fraction form
    500,175.38/690,242.06 = 273,820.88/x
  3. Step 3: Cross multiply
    500,175.38x = 690,242.06 × 273,820.88
  4. Step 4: Simplify right side
    500,175.38x = 189,002,683,461.90
  5. Step 5: Solve for x
    x = 189,002,683,461.90/500,175.38
  6. Step 6: Final answer
    x = 377,872.83

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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.