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Finding the Fourth Proportional to 497,633.18, 746,449.78 and 165,209.18

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Solution

The fourth proportional to 497,633.18, 746,449.78 and 165,209.18 is: 247,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,633.18 : 746,449.78 = 165,209.18 : x
  2. Step 2: Convert to fraction form
    497,633.18/746,449.78 = 165,209.18/x
  3. Step 3: Cross multiply
    497,633.18x = 746,449.78 × 165,209.18
  4. Step 4: Simplify right side
    497,633.18x = 123,320,356,064.98
  5. Step 5: Solve for x
    x = 123,320,356,064.98/497,633.18
  6. Step 6: Final answer
    x = 247,813.77

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Similar ratio
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1.5x scale

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.