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Finding the Fourth Proportional to 385,868, 532,498.02 and 216,102.18

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Solution

The fourth proportional to 385,868, 532,498.02 and 216,102.18 is: 298,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,868 : 532,498.02 = 216,102.18 : x
  2. Step 2: Convert to fraction form
    385,868/532,498.02 = 216,102.18/x
  3. Step 3: Cross multiply
    385,868x = 532,498.02 × 216,102.18
  4. Step 4: Simplify right side
    385,868x = 115,073,982,967.68
  5. Step 5: Solve for x
    x = 115,073,982,967.68/385,868
  6. Step 6: Final answer
    x = 298,221.11

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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.