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Finding the Fourth Proportional to 419,350.80, 578,728.42 and 315,799.61

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Solution

The fourth proportional to 419,350.80, 578,728.42 and 315,799.61 is: 435,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,350.80 : 578,728.42 = 315,799.61 : x
  2. Step 2: Convert to fraction form
    419,350.80/578,728.42 = 315,799.61/x
  3. Step 3: Cross multiply
    419,350.80x = 578,728.42 × 315,799.61
  4. Step 4: Simplify right side
    419,350.80x = 182,762,209,792.31
  5. Step 5: Solve for x
    x = 182,762,209,792.31/419,350.80
  6. Step 6: Final answer
    x = 435,821.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.