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Finding the Fourth Proportional to 217,478.80, 325,829.40 and 177,821.20

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Solution

The fourth proportional to 217,478.80, 325,829.40 and 177,821.20 is: 266,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,478.80 : 325,829.40 = 177,821.20 : x
  2. Step 2: Convert to fraction form
    217,478.80/325,829.40 = 177,821.20/x
  3. Step 3: Cross multiply
    217,478.80x = 325,829.40 × 177,821.20
  4. Step 4: Simplify right side
    217,478.80x = 57,939,374,903.28
  5. Step 5: Solve for x
    x = 57,939,374,903.28/217,478.80
  6. Step 6: Final answer
    x = 266,413.90

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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.