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Finding the Fourth Proportional to 415,250.14, 622,958.46 and 149,031.50

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Solution

The fourth proportional to 415,250.14, 622,958.46 and 149,031.50 is: 223,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,250.14 : 622,958.46 = 149,031.50 : x
  2. Step 2: Convert to fraction form
    415,250.14/622,958.46 = 149,031.50/x
  3. Step 3: Cross multiply
    415,250.14x = 622,958.46 × 149,031.50
  4. Step 4: Simplify right side
    415,250.14x = 92,840,433,731.49
  5. Step 5: Solve for x
    x = 92,840,433,731.49/415,250.14
  6. Step 6: Final answer
    x = 223,577.13

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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.