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Finding the Fourth Proportional to 338,892.57, 508,311.18 and 114,248.16

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Solution

The fourth proportional to 338,892.57, 508,311.18 and 114,248.16 is: 171,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,892.57 : 508,311.18 = 114,248.16 : x
  2. Step 2: Convert to fraction form
    338,892.57/508,311.18 = 114,248.16/x
  3. Step 3: Cross multiply
    338,892.57x = 508,311.18 × 114,248.16
  4. Step 4: Simplify right side
    338,892.57x = 58,073,617,022.43
  5. Step 5: Solve for x
    x = 58,073,617,022.43/338,892.57
  6. Step 6: Final answer
    x = 171,362.91

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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.