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Finding the Fourth Proportional to 390,812.80, 586,413.60 and 154,163.20

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Solution

The fourth proportional to 390,812.80, 586,413.60 and 154,163.20 is: 231,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,812.80 : 586,413.60 = 154,163.20 : x
  2. Step 2: Convert to fraction form
    390,812.80/586,413.60 = 154,163.20/x
  3. Step 3: Cross multiply
    390,812.80x = 586,413.60 × 154,163.20
  4. Step 4: Simplify right side
    390,812.80x = 90,403,397,099.52
  5. Step 5: Solve for x
    x = 90,403,397,099.52/390,812.80
  6. Step 6: Final answer
    x = 231,321.48

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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.