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Finding the Fourth Proportional to 363,722.20, 546,749.70 and 259,264.60

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Solution

The fourth proportional to 363,722.20, 546,749.70 and 259,264.60 is: 389,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,722.20 : 546,749.70 = 259,264.60 : x
  2. Step 2: Convert to fraction form
    363,722.20/546,749.70 = 259,264.60/x
  3. Step 3: Cross multiply
    363,722.20x = 546,749.70 × 259,264.60
  4. Step 4: Simplify right side
    363,722.20x = 141,752,842,270.62
  5. Step 5: Solve for x
    x = 141,752,842,270.62/363,722.20
  6. Step 6: Final answer
    x = 389,728.32

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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.