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Finding the Fourth Proportional to 386,204.16, 532,962.39 and 216,438.28

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Solution

The fourth proportional to 386,204.16, 532,962.39 and 216,438.28 is: 298,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,204.16 : 532,962.39 = 216,438.28 : x
  2. Step 2: Convert to fraction form
    386,204.16/532,962.39 = 216,438.28/x
  3. Step 3: Cross multiply
    386,204.16x = 532,962.39 × 216,438.28
  4. Step 4: Simplify right side
    386,204.16x = 115,353,462,996.29
  5. Step 5: Solve for x
    x = 115,353,462,996.29/386,204.16
  6. Step 6: Final answer
    x = 298,685.19

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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.