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Finding the Fourth Proportional to 386,132.16, 532,876.80 and 216,360

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Solution

The fourth proportional to 386,132.16, 532,876.80 and 216,360 is: 298,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,132.16 : 532,876.80 = 216,360 : x
  2. Step 2: Convert to fraction form
    386,132.16/532,876.80 = 216,360/x
  3. Step 3: Cross multiply
    386,132.16x = 532,876.80 × 216,360
  4. Step 4: Simplify right side
    386,132.16x = 115,293,224,448.00
  5. Step 5: Solve for x
    x = 115,293,224,448.00/386,132.16
  6. Step 6: Final answer
    x = 298,584.88

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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.