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Finding the Fourth Proportional to 310,892.40, 466,138.74 and 204,150.24

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Solution

The fourth proportional to 310,892.40, 466,138.74 and 204,150.24 is: 306,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,892.40 : 466,138.74 = 204,150.24 : x
  2. Step 2: Convert to fraction form
    310,892.40/466,138.74 = 204,150.24/x
  3. Step 3: Cross multiply
    310,892.40x = 466,138.74 × 204,150.24
  4. Step 4: Simplify right side
    310,892.40x = 95,162,335,644.30
  5. Step 5: Solve for x
    x = 95,162,335,644.30/310,892.40
  6. Step 6: Final answer
    x = 306,094.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.