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Finding the Fourth Proportional to 498,729.90, 748,564.65 and 262,242.30

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Solution

The fourth proportional to 498,729.90, 748,564.65 and 262,242.30 is: 393,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,729.90 : 748,564.65 = 262,242.30 : x
  2. Step 2: Convert to fraction form
    498,729.90/748,564.65 = 262,242.30/x
  3. Step 3: Cross multiply
    498,729.90x = 748,564.65 × 262,242.30
  4. Step 4: Simplify right side
    498,729.90x = 196,305,315,514.70
  5. Step 5: Solve for x
    x = 196,305,315,514.70/498,729.90
  6. Step 6: Final answer
    x = 393,610.48

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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.