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Finding the Fourth Proportional to 314,902.80, 472,354.20 and 287,346.60

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Solution

The fourth proportional to 314,902.80, 472,354.20 and 287,346.60 is: 431,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,902.80 : 472,354.20 = 287,346.60 : x
  2. Step 2: Convert to fraction form
    314,902.80/472,354.20 = 287,346.60/x
  3. Step 3: Cross multiply
    314,902.80x = 472,354.20 × 287,346.60
  4. Step 4: Simplify right side
    314,902.80x = 135,729,373,365.72
  5. Step 5: Solve for x
    x = 135,729,373,365.72/314,902.80
  6. Step 6: Final answer
    x = 431,019.90

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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.