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Finding the Fourth Proportional to 475,876.31, 656,698.02 and 261,014.49

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Solution

The fourth proportional to 475,876.31, 656,698.02 and 261,014.49 is: 360,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,876.31 : 656,698.02 = 261,014.49 : x
  2. Step 2: Convert to fraction form
    475,876.31/656,698.02 = 261,014.49/x
  3. Step 3: Cross multiply
    475,876.31x = 656,698.02 × 261,014.49
  4. Step 4: Simplify right side
    475,876.31x = 171,407,698,774.31
  5. Step 5: Solve for x
    x = 171,407,698,774.31/475,876.31
  6. Step 6: Final answer
    x = 360,193.81

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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.