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Finding the Fourth Proportional to 497,752.31, 746,631.44 and 123,775.31

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Solution

The fourth proportional to 497,752.31, 746,631.44 and 123,775.31 is: 185,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,752.31 : 746,631.44 = 123,775.31 : x
  2. Step 2: Convert to fraction form
    497,752.31/746,631.44 = 123,775.31/x
  3. Step 3: Cross multiply
    497,752.31x = 746,631.44 × 123,775.31
  4. Step 4: Simplify right side
    497,752.31x = 92,414,537,941.75
  5. Step 5: Solve for x
    x = 92,414,537,941.75/497,752.31
  6. Step 6: Final answer
    x = 185,663.70

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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.