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Finding the Fourth Proportional to 497,729.64, 746,597.28 and 123,752.64

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Solution

The fourth proportional to 497,729.64, 746,597.28 and 123,752.64 is: 185,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,729.64 : 746,597.28 = 123,752.64 : x
  2. Step 2: Convert to fraction form
    497,729.64/746,597.28 = 123,752.64/x
  3. Step 3: Cross multiply
    497,729.64x = 746,597.28 × 123,752.64
  4. Step 4: Simplify right side
    497,729.64x = 92,393,384,416.82
  5. Step 5: Solve for x
    x = 92,393,384,416.82/497,729.64
  6. Step 6: Final answer
    x = 185,629.66

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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.