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Finding the Fourth Proportional to 542,681.60, 814,022.40 and 277,260.80

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Solution

The fourth proportional to 542,681.60, 814,022.40 and 277,260.80 is: 415,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,681.60 : 814,022.40 = 277,260.80 : x
  2. Step 2: Convert to fraction form
    542,681.60/814,022.40 = 277,260.80/x
  3. Step 3: Cross multiply
    542,681.60x = 814,022.40 × 277,260.80
  4. Step 4: Simplify right side
    542,681.60x = 225,696,501,841.92
  5. Step 5: Solve for x
    x = 225,696,501,841.92/542,681.60
  6. Step 6: Final answer
    x = 415,891.20

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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.