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Finding the Fourth Proportional to 542,243.80, 813,365.70 and 402,275.80

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Solution

The fourth proportional to 542,243.80, 813,365.70 and 402,275.80 is: 603,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,243.80 : 813,365.70 = 402,275.80 : x
  2. Step 2: Convert to fraction form
    542,243.80/813,365.70 = 402,275.80/x
  3. Step 3: Cross multiply
    542,243.80x = 813,365.70 × 402,275.80
  4. Step 4: Simplify right side
    542,243.80x = 327,197,337,660.06
  5. Step 5: Solve for x
    x = 327,197,337,660.06/542,243.80
  6. Step 6: Final answer
    x = 603,413.70

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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.