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Finding the Fourth Proportional to 382,016.32, 527,178.72 and 212,246.80

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Solution

The fourth proportional to 382,016.32, 527,178.72 and 212,246.80 is: 292,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,016.32 : 527,178.72 = 212,246.80 : x
  2. Step 2: Convert to fraction form
    382,016.32/527,178.72 = 212,246.80/x
  3. Step 3: Cross multiply
    382,016.32x = 527,178.72 × 212,246.80
  4. Step 4: Simplify right side
    382,016.32x = 111,891,996,348.10
  5. Step 5: Solve for x
    x = 111,891,996,348.10/382,016.32
  6. Step 6: Final answer
    x = 292,898.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.