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Finding the Fourth Proportional to 313,542.96, 432,692.46 and 170,305.80

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Solution

The fourth proportional to 313,542.96, 432,692.46 and 170,305.80 is: 235,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,542.96 : 432,692.46 = 170,305.80 : x
  2. Step 2: Convert to fraction form
    313,542.96/432,692.46 = 170,305.80/x
  3. Step 3: Cross multiply
    313,542.96x = 432,692.46 × 170,305.80
  4. Step 4: Simplify right side
    313,542.96x = 73,690,035,554.27
  5. Step 5: Solve for x
    x = 73,690,035,554.27/313,542.96
  6. Step 6: Final answer
    x = 235,023.73

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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.