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Finding the Fourth Proportional to 497,603.72, 746,382.90 and 160,659.92

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Solution

The fourth proportional to 497,603.72, 746,382.90 and 160,659.92 is: 240,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,603.72 : 746,382.90 = 160,659.92 : x
  2. Step 2: Convert to fraction form
    497,603.72/746,382.90 = 160,659.92/x
  3. Step 3: Cross multiply
    497,603.72x = 746,382.90 × 160,659.92
  4. Step 4: Simplify right side
    497,603.72x = 119,913,817,003.37
  5. Step 5: Solve for x
    x = 119,913,817,003.37/497,603.72
  6. Step 6: Final answer
    x = 240,982.56

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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.