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Finding the Fourth Proportional to 313,867.74, 433,132.38 and 170,631.36

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Solution

The fourth proportional to 313,867.74, 433,132.38 and 170,631.36 is: 235,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,867.74 : 433,132.38 = 170,631.36 : x
  2. Step 2: Convert to fraction form
    313,867.74/433,132.38 = 170,631.36/x
  3. Step 3: Cross multiply
    313,867.74x = 433,132.38 × 170,631.36
  4. Step 4: Simplify right side
    313,867.74x = 73,905,967,059.44
  5. Step 5: Solve for x
    x = 73,905,967,059.44/313,867.74
  6. Step 6: Final answer
    x = 235,468.50

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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.