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Finding the Fourth Proportional to 542,278.15, 813,413.13 and 163,197.25

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Solution

The fourth proportional to 542,278.15, 813,413.13 and 163,197.25 is: 244,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,278.15 : 813,413.13 = 163,197.25 : x
  2. Step 2: Convert to fraction form
    542,278.15/813,413.13 = 163,197.25/x
  3. Step 3: Cross multiply
    542,278.15x = 813,413.13 × 163,197.25
  4. Step 4: Simplify right side
    542,278.15x = 132,746,785,929.89
  5. Step 5: Solve for x
    x = 132,746,785,929.89/542,278.15
  6. Step 6: Final answer
    x = 244,794.64

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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.