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Finding the Fourth Proportional to 386,728.56, 533,687.13 and 216,951.75

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Solution

The fourth proportional to 386,728.56, 533,687.13 and 216,951.75 is: 299,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,728.56 : 533,687.13 = 216,951.75 : x
  2. Step 2: Convert to fraction form
    386,728.56/533,687.13 = 216,951.75/x
  3. Step 3: Cross multiply
    386,728.56x = 533,687.13 × 216,951.75
  4. Step 4: Simplify right side
    386,728.56x = 115,784,356,805.98
  5. Step 5: Solve for x
    x = 115,784,356,805.98/386,728.56
  6. Step 6: Final answer
    x = 299,394.38

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1.5x scale

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.