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Finding the Fourth Proportional to 408,936.30, 613,404.45 and 282,965.10

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Solution

The fourth proportional to 408,936.30, 613,404.45 and 282,965.10 is: 424,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,936.30 : 613,404.45 = 282,965.10 : x
  2. Step 2: Convert to fraction form
    408,936.30/613,404.45 = 282,965.10/x
  3. Step 3: Cross multiply
    408,936.30x = 613,404.45 × 282,965.10
  4. Step 4: Simplify right side
    408,936.30x = 173,572,051,534.70
  5. Step 5: Solve for x
    x = 173,572,051,534.70/408,936.30
  6. Step 6: Final answer
    x = 424,447.65

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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.