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Finding the Fourth Proportional to 309,692.62, 464,538.05 and 85,053.27

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Solution

The fourth proportional to 309,692.62, 464,538.05 and 85,053.27 is: 127,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,692.62 : 464,538.05 = 85,053.27 : x
  2. Step 2: Convert to fraction form
    309,692.62/464,538.05 = 85,053.27/x
  3. Step 3: Cross multiply
    309,692.62x = 464,538.05 × 85,053.27
  4. Step 4: Simplify right side
    309,692.62x = 39,510,478,343.59
  5. Step 5: Solve for x
    x = 39,510,478,343.59/309,692.62
  6. Step 6: Final answer
    x = 127,579.66

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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.