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Finding the Fourth Proportional to 389,180.16, 537,078.14 and 217,096.87

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Solution

The fourth proportional to 389,180.16, 537,078.14 and 217,096.87 is: 299,598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,180.16 : 537,078.14 = 217,096.87 : x
  2. Step 2: Convert to fraction form
    389,180.16/537,078.14 = 217,096.87/x
  3. Step 3: Cross multiply
    389,180.16x = 537,078.14 × 217,096.87
  4. Step 4: Simplify right side
    389,180.16x = 116,597,983,139.42
  5. Step 5: Solve for x
    x = 116,597,983,139.42/389,180.16
  6. Step 6: Final answer
    x = 299,598.99

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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.