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Finding the Fourth Proportional to 498,095.46, 687,370.86 and 271,740.96

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Solution

The fourth proportional to 498,095.46, 687,370.86 and 271,740.96 is: 375,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,095.46 : 687,370.86 = 271,740.96 : x
  2. Step 2: Convert to fraction form
    498,095.46/687,370.86 = 271,740.96/x
  3. Step 3: Cross multiply
    498,095.46x = 687,370.86 × 271,740.96
  4. Step 4: Simplify right side
    498,095.46x = 186,786,817,372.43
  5. Step 5: Solve for x
    x = 186,786,817,372.43/498,095.46
  6. Step 6: Final answer
    x = 375,002.05

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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.