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Finding the Fourth Proportional to 407,026.63, 561,731.25 and 225,796.96

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Solution

The fourth proportional to 407,026.63, 561,731.25 and 225,796.96 is: 311,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,026.63 : 561,731.25 = 225,796.96 : x
  2. Step 2: Convert to fraction form
    407,026.63/561,731.25 = 225,796.96/x
  3. Step 3: Cross multiply
    407,026.63x = 561,731.25 × 225,796.96
  4. Step 4: Simplify right side
    407,026.63x = 126,837,208,587
  5. Step 5: Solve for x
    x = 126,837,208,587/407,026.63
  6. Step 6: Final answer
    x = 311,618.94

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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.