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Finding the Fourth Proportional to 309,620.10, 464,430.15 and 224,983.20

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Solution

The fourth proportional to 309,620.10, 464,430.15 and 224,983.20 is: 337,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,620.10 : 464,430.15 = 224,983.20 : x
  2. Step 2: Convert to fraction form
    309,620.10/464,430.15 = 224,983.20/x
  3. Step 3: Cross multiply
    309,620.10x = 464,430.15 × 224,983.20
  4. Step 4: Simplify right side
    309,620.10x = 104,488,981,323.48
  5. Step 5: Solve for x
    x = 104,488,981,323.48/309,620.10
  6. Step 6: Final answer
    x = 337,474.80

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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.