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Finding the Fourth Proportional to 542,802.80, 814,204.20 and 385,338.80

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Solution

The fourth proportional to 542,802.80, 814,204.20 and 385,338.80 is: 578,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,802.80 : 814,204.20 = 385,338.80 : x
  2. Step 2: Convert to fraction form
    542,802.80/814,204.20 = 385,338.80/x
  3. Step 3: Cross multiply
    542,802.80x = 814,204.20 × 385,338.80
  4. Step 4: Simplify right side
    542,802.80x = 313,744,469,382.96
  5. Step 5: Solve for x
    x = 313,744,469,382.96/542,802.80
  6. Step 6: Final answer
    x = 578,008.20

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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.