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Finding the Fourth Proportional to 497,740.56, 746,613.72 and 123,763.56

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Solution

The fourth proportional to 497,740.56, 746,613.72 and 123,763.56 is: 185,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,740.56 : 746,613.72 = 123,763.56 : x
  2. Step 2: Convert to fraction form
    497,740.56/746,613.72 = 123,763.56/x
  3. Step 3: Cross multiply
    497,740.56x = 746,613.72 × 123,763.56
  4. Step 4: Simplify right side
    497,740.56x = 92,403,571,932.04
  5. Step 5: Solve for x
    x = 92,403,571,932.04/497,740.56
  6. Step 6: Final answer
    x = 185,646.06

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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.