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Finding the Fourth Proportional to 465,523.47, 698,197.76 and 145,627.44

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Solution

The fourth proportional to 465,523.47, 698,197.76 and 145,627.44 is: 218,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,523.47 : 698,197.76 = 145,627.44 : x
  2. Step 2: Convert to fraction form
    465,523.47/698,197.76 = 145,627.44/x
  3. Step 3: Cross multiply
    465,523.47x = 698,197.76 × 145,627.44
  4. Step 4: Simplify right side
    465,523.47x = 101,676,749,602.26
  5. Step 5: Solve for x
    x = 101,676,749,602.26/465,523.47
  6. Step 6: Final answer
    x = 218,413.80

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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.