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Finding the Fourth Proportional to 295,549.92, 407,868.66 and 161,413.92

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Solution

The fourth proportional to 295,549.92, 407,868.66 and 161,413.92 is: 222,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,549.92 : 407,868.66 = 161,413.92 : x
  2. Step 2: Convert to fraction form
    295,549.92/407,868.66 = 161,413.92/x
  3. Step 3: Cross multiply
    295,549.92x = 407,868.66 × 161,413.92
  4. Step 4: Simplify right side
    295,549.92x = 65,835,679,255.75
  5. Step 5: Solve for x
    x = 65,835,679,255.75/295,549.92
  6. Step 6: Final answer
    x = 222,756.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.