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Finding the Fourth Proportional to 542,234.80, 813,352.20 and 402,266.80

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Solution

The fourth proportional to 542,234.80, 813,352.20 and 402,266.80 is: 603,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,234.80 : 813,352.20 = 402,266.80 : x
  2. Step 2: Convert to fraction form
    542,234.80/813,352.20 = 402,266.80/x
  3. Step 3: Cross multiply
    542,234.80x = 813,352.20 × 402,266.80
  4. Step 4: Simplify right side
    542,234.80x = 327,184,586,766.96
  5. Step 5: Solve for x
    x = 327,184,586,766.96/542,234.80
  6. Step 6: Final answer
    x = 603,400.20

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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.