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Finding the Fourth Proportional to 385,961.52, 532,626.12 and 216,192

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Solution

The fourth proportional to 385,961.52, 532,626.12 and 216,192 is: 298,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,961.52 : 532,626.12 = 216,192 : x
  2. Step 2: Convert to fraction form
    385,961.52/532,626.12 = 216,192/x
  3. Step 3: Cross multiply
    385,961.52x = 532,626.12 × 216,192
  4. Step 4: Simplify right side
    385,961.52x = 115,149,506,135.04
  5. Step 5: Solve for x
    x = 115,149,506,135.04/385,961.52
  6. Step 6: Final answer
    x = 298,344.52

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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.