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Finding the Fourth Proportional to 407,124.54, 561,899.25 and 225,894.86

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Solution

The fourth proportional to 407,124.54, 561,899.25 and 225,894.86 is: 311,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,124.54 : 561,899.25 = 225,894.86 : x
  2. Step 2: Convert to fraction form
    407,124.54/561,899.25 = 225,894.86/x
  3. Step 3: Cross multiply
    407,124.54x = 561,899.25 × 225,894.86
  4. Step 4: Simplify right side
    407,124.54x = 126,930,149,731.06
  5. Step 5: Solve for x
    x = 126,930,149,731.06/407,124.54
  6. Step 6: Final answer
    x = 311,772.29

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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.