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Finding the Fourth Proportional to 472,059.82, 707,250.13 and 271,966.75

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Solution

The fourth proportional to 472,059.82, 707,250.13 and 271,966.75 is: 407,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,059.82 : 707,250.13 = 271,966.75 : x
  2. Step 2: Convert to fraction form
    472,059.82/707,250.13 = 271,966.75/x
  3. Step 3: Cross multiply
    472,059.82x = 707,250.13 × 271,966.75
  4. Step 4: Simplify right side
    472,059.82x = 192,348,519,293.18
  5. Step 5: Solve for x
    x = 192,348,519,293.18/472,059.82
  6. Step 6: Final answer
    x = 407,466.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.