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Finding the Fourth Proportional to 382,672.30, 574,227.15 and 146,184.70

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Solution

The fourth proportional to 382,672.30, 574,227.15 and 146,184.70 is: 219,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,672.30 : 574,227.15 = 146,184.70 : x
  2. Step 2: Convert to fraction form
    382,672.30/574,227.15 = 146,184.70/x
  3. Step 3: Cross multiply
    382,672.30x = 574,227.15 × 146,184.70
  4. Step 4: Simplify right side
    382,672.30x = 83,943,223,654.61
  5. Step 5: Solve for x
    x = 83,943,223,654.61/382,672.30
  6. Step 6: Final answer
    x = 219,360.60

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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.