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Finding the Fourth Proportional to 320,692.68, 481,111.83 and 170,854.02

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Solution

The fourth proportional to 320,692.68, 481,111.83 and 170,854.02 is: 256,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,692.68 : 481,111.83 = 170,854.02 : x
  2. Step 2: Convert to fraction form
    320,692.68/481,111.83 = 170,854.02/x
  3. Step 3: Cross multiply
    320,692.68x = 481,111.83 × 170,854.02
  4. Step 4: Simplify right side
    320,692.68x = 82,199,890,225.06
  5. Step 5: Solve for x
    x = 82,199,890,225.06/320,692.68
  6. Step 6: Final answer
    x = 256,319.82

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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.