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Finding the Fourth Proportional to 498,700.80, 748,051.20 and 199,227.60

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Solution

The fourth proportional to 498,700.80, 748,051.20 and 199,227.60 is: 298,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,700.80 : 748,051.20 = 199,227.60 : x
  2. Step 2: Convert to fraction form
    498,700.80/748,051.20 = 199,227.60/x
  3. Step 3: Cross multiply
    498,700.80x = 748,051.20 × 199,227.60
  4. Step 4: Simplify right side
    498,700.80x = 149,032,445,253.12
  5. Step 5: Solve for x
    x = 149,032,445,253.12/498,700.80
  6. Step 6: Final answer
    x = 298,841.40

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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.