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Finding the Fourth Proportional to 354,197.59, 488,793.05 and 193,052.77

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Solution

The fourth proportional to 354,197.59, 488,793.05 and 193,052.77 is: 266,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,197.59 : 488,793.05 = 193,052.77 : x
  2. Step 2: Convert to fraction form
    354,197.59/488,793.05 = 193,052.77/x
  3. Step 3: Cross multiply
    354,197.59x = 488,793.05 × 193,052.77
  4. Step 4: Simplify right side
    354,197.59x = 94,362,851,293.98
  5. Step 5: Solve for x
    x = 94,362,851,293.98/354,197.59
  6. Step 6: Final answer
    x = 266,413.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.