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Finding the Fourth Proportional to 325,721.80, 488,697.90 and 314,201.80

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Solution

The fourth proportional to 325,721.80, 488,697.90 and 314,201.80 is: 471,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,721.80 : 488,697.90 = 314,201.80 : x
  2. Step 2: Convert to fraction form
    325,721.80/488,697.90 = 314,201.80/x
  3. Step 3: Cross multiply
    325,721.80x = 488,697.90 × 314,201.80
  4. Step 4: Simplify right side
    325,721.80x = 153,549,759,836.22
  5. Step 5: Solve for x
    x = 153,549,759,836.22/325,721.80
  6. Step 6: Final answer
    x = 471,413.83

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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.