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Finding the Fourth Proportional to 577,543.44, 866,413.80 and 178,176.72

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Solution

The fourth proportional to 577,543.44, 866,413.80 and 178,176.72 is: 267,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,543.44 : 866,413.80 = 178,176.72 : x
  2. Step 2: Convert to fraction form
    577,543.44/866,413.80 = 178,176.72/x
  3. Step 3: Cross multiply
    577,543.44x = 866,413.80 × 178,176.72
  4. Step 4: Simplify right side
    577,543.44x = 154,374,769,046.74
  5. Step 5: Solve for x
    x = 154,374,769,046.74/577,543.44
  6. Step 6: Final answer
    x = 267,295.51

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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.