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Finding the Fourth Proportional to 310,413.78, 465,522.25 and 132,873.12

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Solution

The fourth proportional to 310,413.78, 465,522.25 and 132,873.12 is: 199,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,413.78 : 465,522.25 = 132,873.12 : x
  2. Step 2: Convert to fraction form
    310,413.78/465,522.25 = 132,873.12/x
  3. Step 3: Cross multiply
    310,413.78x = 465,522.25 × 132,873.12
  4. Step 4: Simplify right side
    310,413.78x = 61,855,392,623.11
  5. Step 5: Solve for x
    x = 61,855,392,623.11/310,413.78
  6. Step 6: Final answer
    x = 199,267.55

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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.