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Finding the Fourth Proportional to 385,930.16, 532,577.40 and 216,163.76

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Solution

The fourth proportional to 385,930.16, 532,577.40 and 216,163.76 is: 298,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,930.16 : 532,577.40 = 216,163.76 : x
  2. Step 2: Convert to fraction form
    385,930.16/532,577.40 = 216,163.76/x
  3. Step 3: Cross multiply
    385,930.16x = 532,577.40 × 216,163.76
  4. Step 4: Simplify right side
    385,930.16x = 115,123,933,275.02
  5. Step 5: Solve for x
    x = 115,123,933,275.02/385,930.16
  6. Step 6: Final answer
    x = 298,302.50

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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.