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Finding the Fourth Proportional to 310,413.72, 465,522.16 and 132,873.06

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Solution

The fourth proportional to 310,413.72, 465,522.16 and 132,873.06 is: 199,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,413.72 : 465,522.16 = 132,873.06 : x
  2. Step 2: Convert to fraction form
    310,413.72/465,522.16 = 132,873.06/x
  3. Step 3: Cross multiply
    310,413.72x = 465,522.16 × 132,873.06
  4. Step 4: Simplify right side
    310,413.72x = 61,855,351,237.22
  5. Step 5: Solve for x
    x = 61,855,351,237.22/310,413.72
  6. Step 6: Final answer
    x = 199,267.46

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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.