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Finding the Fourth Proportional to 405,500.69, 559,568.33 and 224,201.73

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Solution

The fourth proportional to 405,500.69, 559,568.33 and 224,201.73 is: 309,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,500.69 : 559,568.33 = 224,201.73 : x
  2. Step 2: Convert to fraction form
    405,500.69/559,568.33 = 224,201.73/x
  3. Step 3: Cross multiply
    405,500.69x = 559,568.33 × 224,201.73
  4. Step 4: Simplify right side
    405,500.69x = 125,456,187,570.90
  5. Step 5: Solve for x
    x = 125,456,187,570.90/405,500.69
  6. Step 6: Final answer
    x = 309,385.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.