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Finding the Fourth Proportional to 313,778.34, 433,017.50 and 170,538.41

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Solution

The fourth proportional to 313,778.34, 433,017.50 and 170,538.41 is: 235,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,778.34 : 433,017.50 = 170,538.41 : x
  2. Step 2: Convert to fraction form
    313,778.34/433,017.50 = 170,538.41/x
  3. Step 3: Cross multiply
    313,778.34x = 433,017.50 × 170,538.41
  4. Step 4: Simplify right side
    313,778.34x = 73,846,116,182.03
  5. Step 5: Solve for x
    x = 73,846,116,182.03/313,778.34
  6. Step 6: Final answer
    x = 235,344.85

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1.5x scale

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.