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Finding the Fourth Proportional to 498,727.80, 748,091.70 and 199,254.60

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Solution

The fourth proportional to 498,727.80, 748,091.70 and 199,254.60 is: 298,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,727.80 : 748,091.70 = 199,254.60 : x
  2. Step 2: Convert to fraction form
    498,727.80/748,091.70 = 199,254.60/x
  3. Step 3: Cross multiply
    498,727.80x = 748,091.70 × 199,254.60
  4. Step 4: Simplify right side
    498,727.80x = 149,060,712,446.82
  5. Step 5: Solve for x
    x = 149,060,712,446.82/498,727.80
  6. Step 6: Final answer
    x = 298,881.90

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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.