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Finding the Fourth Proportional to 363,413.28, 545,076.99 and 97,194.43

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Solution

The fourth proportional to 363,413.28, 545,076.99 and 97,194.43 is: 145,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,413.28 : 545,076.99 = 97,194.43 : x
  2. Step 2: Convert to fraction form
    363,413.28/545,076.99 = 97,194.43/x
  3. Step 3: Cross multiply
    363,413.28x = 545,076.99 × 97,194.43
  4. Step 4: Simplify right side
    363,413.28x = 52,978,447,349.17
  5. Step 5: Solve for x
    x = 52,978,447,349.17/363,413.28
  6. Step 6: Final answer
    x = 145,780.16

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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.