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Finding the Fourth Proportional to 413,770.12, 571,003.14 and 234,922.12

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Solution

The fourth proportional to 413,770.12, 571,003.14 and 234,922.12 is: 324,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,770.12 : 571,003.14 = 234,922.12 : x
  2. Step 2: Convert to fraction form
    413,770.12/571,003.14 = 234,922.12/x
  3. Step 3: Cross multiply
    413,770.12x = 571,003.14 × 234,922.12
  4. Step 4: Simplify right side
    413,770.12x = 134,141,268,175.46
  5. Step 5: Solve for x
    x = 134,141,268,175.46/413,770.12
  6. Step 6: Final answer
    x = 324,192.74

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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.