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Finding the Fourth Proportional to 497,425.30, 746,283.25 and 160,458.48

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Solution

The fourth proportional to 497,425.30, 746,283.25 and 160,458.48 is: 240,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,425.30 : 746,283.25 = 160,458.48 : x
  2. Step 2: Convert to fraction form
    497,425.30/746,283.25 = 160,458.48/x
  3. Step 3: Cross multiply
    497,425.30x = 746,283.25 × 160,458.48
  4. Step 4: Simplify right side
    497,425.30x = 119,747,475,944.46
  5. Step 5: Solve for x
    x = 119,747,475,944.46/497,425.30
  6. Step 6: Final answer
    x = 240,734.59

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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.