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Finding the Fourth Proportional to 320,422.70, 480,115.65 and 201,881.90

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Solution

The fourth proportional to 320,422.70, 480,115.65 and 201,881.90 is: 302,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,422.70 : 480,115.65 = 201,881.90 : x
  2. Step 2: Convert to fraction form
    320,422.70/480,115.65 = 201,881.90/x
  3. Step 3: Cross multiply
    320,422.70x = 480,115.65 × 201,881.90
  4. Step 4: Simplify right side
    320,422.70x = 96,926,659,641.74
  5. Step 5: Solve for x
    x = 96,926,659,641.74/320,422.70
  6. Step 6: Final answer
    x = 302,496.23

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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.