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Finding the Fourth Proportional to 457,609.20, 685,712.04 and 207,999.60

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Solution

The fourth proportional to 457,609.20, 685,712.04 and 207,999.60 is: 311,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,609.20 : 685,712.04 = 207,999.60 : x
  2. Step 2: Convert to fraction form
    457,609.20/685,712.04 = 207,999.60/x
  3. Step 3: Cross multiply
    457,609.20x = 685,712.04 × 207,999.60
  4. Step 4: Simplify right side
    457,609.20x = 142,627,830,035.18
  5. Step 5: Solve for x
    x = 142,627,830,035.18/457,609.20
  6. Step 6: Final answer
    x = 311,680.43

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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.