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Finding the Fourth Proportional to 513,418.80, 769,091.40 and 291,543.60

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Solution

The fourth proportional to 513,418.80, 769,091.40 and 291,543.60 is: 436,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,418.80 : 769,091.40 = 291,543.60 : x
  2. Step 2: Convert to fraction form
    513,418.80/769,091.40 = 291,543.60/x
  3. Step 3: Cross multiply
    513,418.80x = 769,091.40 × 291,543.60
  4. Step 4: Simplify right side
    513,418.80x = 224,223,675,485.04
  5. Step 5: Solve for x
    x = 224,223,675,485.04/513,418.80
  6. Step 6: Final answer
    x = 436,726.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.