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Finding the Fourth Proportional to 309,052.47, 463,503.78 and 84,413.96

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Solution

The fourth proportional to 309,052.47, 463,503.78 and 84,413.96 is: 126,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,052.47 : 463,503.78 = 84,413.96 : x
  2. Step 2: Convert to fraction form
    309,052.47/463,503.78 = 84,413.96/x
  3. Step 3: Cross multiply
    309,052.47x = 463,503.78 × 84,413.96
  4. Step 4: Simplify right side
    309,052.47x = 39,126,187,227.25
  5. Step 5: Solve for x
    x = 39,126,187,227.25/309,052.47
  6. Step 6: Final answer
    x = 126,600.47

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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.