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Finding the Fourth Proportional to 542,785.80, 814,178.70 and 401,068.20

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Solution

The fourth proportional to 542,785.80, 814,178.70 and 401,068.20 is: 601,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,785.80 : 814,178.70 = 401,068.20 : x
  2. Step 2: Convert to fraction form
    542,785.80/814,178.70 = 401,068.20/x
  3. Step 3: Cross multiply
    542,785.80x = 814,178.70 × 401,068.20
  4. Step 4: Simplify right side
    542,785.80x = 326,541,185,687.34
  5. Step 5: Solve for x
    x = 326,541,185,687.34/542,785.80
  6. Step 6: Final answer
    x = 601,602.30

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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.