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Finding the Fourth Proportional to 498,100.32, 687,380.58 and 271,750.68

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Solution

The fourth proportional to 498,100.32, 687,380.58 and 271,750.68 is: 375,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,100.32 : 687,380.58 = 271,750.68 : x
  2. Step 2: Convert to fraction form
    498,100.32/687,380.58 = 271,750.68/x
  3. Step 3: Cross multiply
    498,100.32x = 687,380.58 × 271,750.68
  4. Step 4: Simplify right side
    498,100.32x = 186,796,140,033.79
  5. Step 5: Solve for x
    x = 186,796,140,033.79/498,100.32
  6. Step 6: Final answer
    x = 375,017.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.