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Finding the Fourth Proportional to 416,131.38, 574,261.11 and 234,881.34

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Solution

The fourth proportional to 416,131.38, 574,261.11 and 234,881.34 is: 324,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,131.38 : 574,261.11 = 234,881.34 : x
  2. Step 2: Convert to fraction form
    416,131.38/574,261.11 = 234,881.34/x
  3. Step 3: Cross multiply
    416,131.38x = 574,261.11 × 234,881.34
  4. Step 4: Simplify right side
    416,131.38x = 134,883,219,026.69
  5. Step 5: Solve for x
    x = 134,883,219,026.69/416,131.38
  6. Step 6: Final answer
    x = 324,136.14

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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.