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Finding the Fourth Proportional to 269,508,319.20, 404,262,478.80 and 235,496,095.20

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Solution

The fourth proportional to 269,508,319.20, 404,262,478.80 and 235,496,095.20 is: 353,244,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,508,319.20 : 404,262,478.80 = 235,496,095.20 : x
  2. Step 2: Convert to fraction form
    269,508,319.20/404,262,478.80 = 235,496,095.20/x
  3. Step 3: Cross multiply
    269,508,319.20x = 404,262,478.80 × 235,496,095.20
  4. Step 4: Simplify right side
    269,508,319.20x = 95,202,235,193,272,784
  5. Step 5: Solve for x
    x = 95,202,235,193,272,784/269,508,319.20
  6. Step 6: Final answer
    x = 353,244,142.80

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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.