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Finding the Fourth Proportional to 386,159.16, 532,914.12 and 216,387

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Solution

The fourth proportional to 386,159.16, 532,914.12 and 216,387 is: 298,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,159.16 : 532,914.12 = 216,387 : x
  2. Step 2: Convert to fraction form
    386,159.16/532,914.12 = 216,387/x
  3. Step 3: Cross multiply
    386,159.16x = 532,914.12 × 216,387
  4. Step 4: Simplify right side
    386,159.16x = 115,315,687,684.44
  5. Step 5: Solve for x
    x = 115,315,687,684.44/386,159.16
  6. Step 6: Final answer
    x = 298,622.17

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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.