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Finding the Fourth Proportional to 320,433.13, 480,938.60 and 170,798.05

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Solution

The fourth proportional to 320,433.13, 480,938.60 and 170,798.05 is: 256,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,433.13 : 480,938.60 = 170,798.05 : x
  2. Step 2: Convert to fraction form
    320,433.13/480,938.60 = 170,798.05/x
  3. Step 3: Cross multiply
    320,433.13x = 480,938.60 × 170,798.05
  4. Step 4: Simplify right side
    320,433.13x = 82,143,375,049.73
  5. Step 5: Solve for x
    x = 82,143,375,049.73/320,433.13
  6. Step 6: Final answer
    x = 256,351.07

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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.