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Finding the Fourth Proportional to 309,578.74, 464,368.60 and 84,942.25

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Solution

The fourth proportional to 309,578.74, 464,368.60 and 84,942.25 is: 127,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,578.74 : 464,368.60 = 84,942.25 : x
  2. Step 2: Convert to fraction form
    309,578.74/464,368.60 = 84,942.25/x
  3. Step 3: Cross multiply
    309,578.74x = 464,368.60 × 84,942.25
  4. Step 4: Simplify right side
    309,578.74x = 39,444,513,713.35
  5. Step 5: Solve for x
    x = 39,444,513,713.35/309,578.74
  6. Step 6: Final answer
    x = 127,413.51

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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.