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Finding the Fourth Proportional to 497,436.80, 746,446.80 and 181,925.60

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Solution

The fourth proportional to 497,436.80, 746,446.80 and 181,925.60 is: 272,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,436.80 : 746,446.80 = 181,925.60 : x
  2. Step 2: Convert to fraction form
    497,436.80/746,446.80 = 181,925.60/x
  3. Step 3: Cross multiply
    497,436.80x = 746,446.80 × 181,925.60
  4. Step 4: Simplify right side
    497,436.80x = 135,797,781,958.08
  5. Step 5: Solve for x
    x = 135,797,781,958.08/497,436.80
  6. Step 6: Final answer
    x = 272,995.05

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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.