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Finding the Fourth Proportional to 412,871.34, 619,307.97 and 113,356.02

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Solution

The fourth proportional to 412,871.34, 619,307.97 and 113,356.02 is: 170,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,871.34 : 619,307.97 = 113,356.02 : x
  2. Step 2: Convert to fraction form
    412,871.34/619,307.97 = 113,356.02/x
  3. Step 3: Cross multiply
    412,871.34x = 619,307.97 × 113,356.02
  4. Step 4: Simplify right side
    412,871.34x = 70,202,286,633.48
  5. Step 5: Solve for x
    x = 70,202,286,633.48/412,871.34
  6. Step 6: Final answer
    x = 170,034.29

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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.