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Finding the Fourth Proportional to 382,084.96, 527,123.28 and 230,919.52

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Solution

The fourth proportional to 382,084.96, 527,123.28 and 230,919.52 is: 318,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,084.96 : 527,123.28 = 230,919.52 : x
  2. Step 2: Convert to fraction form
    382,084.96/527,123.28 = 230,919.52/x
  3. Step 3: Cross multiply
    382,084.96x = 527,123.28 × 230,919.52
  4. Step 4: Simplify right side
    382,084.96x = 121,723,054,798.43
  5. Step 5: Solve for x
    x = 121,723,054,798.43/382,084.96
  6. Step 6: Final answer
    x = 318,575.89

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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.