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Finding the Fourth Proportional to 383,413.60, 575,120.40 and 102,959.20

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Solution

The fourth proportional to 383,413.60, 575,120.40 and 102,959.20 is: 154,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,413.60 : 575,120.40 = 102,959.20 : x
  2. Step 2: Convert to fraction form
    383,413.60/575,120.40 = 102,959.20/x
  3. Step 3: Cross multiply
    383,413.60x = 575,120.40 × 102,959.20
  4. Step 4: Simplify right side
    383,413.60x = 59,213,936,287.68
  5. Step 5: Solve for x
    x = 59,213,936,287.68/383,413.60
  6. Step 6: Final answer
    x = 154,438.80

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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.