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Finding the Fourth Proportional to 497,729.13, 746,596.59 and 123,752.13

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Solution

The fourth proportional to 497,729.13, 746,596.59 and 123,752.13 is: 185,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,729.13 : 746,596.59 = 123,752.13 : x
  2. Step 2: Convert to fraction form
    497,729.13/746,596.59 = 123,752.13/x
  3. Step 3: Cross multiply
    497,729.13x = 746,596.59 × 123,752.13
  4. Step 4: Simplify right side
    497,729.13x = 92,392,918,263.24
  5. Step 5: Solve for x
    x = 92,392,918,263.24/497,729.13
  6. Step 6: Final answer
    x = 185,628.91

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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.