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Finding the Fourth Proportional to 242,413.55, 363,124.60 and 197,594.63

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Solution

The fourth proportional to 242,413.55, 363,124.60 and 197,594.63 is: 295,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,413.55 : 363,124.60 = 197,594.63 : x
  2. Step 2: Convert to fraction form
    242,413.55/363,124.60 = 197,594.63/x
  3. Step 3: Cross multiply
    242,413.55x = 363,124.60 × 197,594.63
  4. Step 4: Simplify right side
    242,413.55x = 71,751,468,671.29
  5. Step 5: Solve for x
    x = 71,751,468,671.29/242,413.55
  6. Step 6: Final answer
    x = 295,987.87

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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.