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Finding the Fourth Proportional to 322,588.80, 483,926.40 and 112,291.20

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Solution

The fourth proportional to 322,588.80, 483,926.40 and 112,291.20 is: 168,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,588.80 : 483,926.40 = 112,291.20 : x
  2. Step 2: Convert to fraction form
    322,588.80/483,926.40 = 112,291.20/x
  3. Step 3: Cross multiply
    322,588.80x = 483,926.40 × 112,291.20
  4. Step 4: Simplify right side
    322,588.80x = 54,340,676,167.68
  5. Step 5: Solve for x
    x = 54,340,676,167.68/322,588.80
  6. Step 6: Final answer
    x = 168,451.84

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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.