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Finding the Fourth Proportional to 497,751.06, 746,629.56 and 123,774.06

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Solution

The fourth proportional to 497,751.06, 746,629.56 and 123,774.06 is: 185,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,751.06 : 746,629.56 = 123,774.06 : x
  2. Step 2: Convert to fraction form
    497,751.06/746,629.56 = 123,774.06/x
  3. Step 3: Cross multiply
    497,751.06x = 746,629.56 × 123,774.06
  4. Step 4: Simplify right side
    497,751.06x = 92,413,371,957.21
  5. Step 5: Solve for x
    x = 92,413,371,957.21/497,751.06
  6. Step 6: Final answer
    x = 185,661.83

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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.