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Finding the Fourth Proportional to 410,965.98, 567,128.62 and 227,203.76

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Solution

The fourth proportional to 410,965.98, 567,128.62 and 227,203.76 is: 313,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,965.98 : 567,128.62 = 227,203.76 : x
  2. Step 2: Convert to fraction form
    410,965.98/567,128.62 = 227,203.76/x
  3. Step 3: Cross multiply
    410,965.98x = 567,128.62 × 227,203.76
  4. Step 4: Simplify right side
    410,965.98x = 128,853,750,895.95
  5. Step 5: Solve for x
    x = 128,853,750,895.95/410,965.98
  6. Step 6: Final answer
    x = 313,538.73

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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.