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Finding the Fourth Proportional to 497,740.52, 746,617.80 and 123,763.52

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Solution

The fourth proportional to 497,740.52, 746,617.80 and 123,763.52 is: 185,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,740.52 : 746,617.80 = 123,763.52 : x
  2. Step 2: Convert to fraction form
    497,740.52/746,617.80 = 123,763.52/x
  3. Step 3: Cross multiply
    497,740.52x = 746,617.80 × 123,763.52
  4. Step 4: Simplify right side
    497,740.52x = 92,404,047,022.66
  5. Step 5: Solve for x
    x = 92,404,047,022.66/497,740.52
  6. Step 6: Final answer
    x = 185,647.03

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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.