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Finding the Fourth Proportional to 542,413.20, 812,842.20 and 399,140.40

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Solution

The fourth proportional to 542,413.20, 812,842.20 and 399,140.40 is: 598,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,413.20 : 812,842.20 = 399,140.40 : x
  2. Step 2: Convert to fraction form
    542,413.20/812,842.20 = 399,140.40/x
  3. Step 3: Cross multiply
    542,413.20x = 812,842.20 × 399,140.40
  4. Step 4: Simplify right side
    542,413.20x = 324,438,160,844.88
  5. Step 5: Solve for x
    x = 324,438,160,844.88/542,413.20
  6. Step 6: Final answer
    x = 598,138.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.