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Finding the Fourth Proportional to 320,793.30, 480,971.22 and 162,716.94

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Solution

The fourth proportional to 320,793.30, 480,971.22 and 162,716.94 is: 243,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,793.30 : 480,971.22 = 162,716.94 : x
  2. Step 2: Convert to fraction form
    320,793.30/480,971.22 = 162,716.94/x
  3. Step 3: Cross multiply
    320,793.30x = 480,971.22 × 162,716.94
  4. Step 4: Simplify right side
    320,793.30x = 78,262,165,146.47
  5. Step 5: Solve for x
    x = 78,262,165,146.47/320,793.30
  6. Step 6: Final answer
    x = 243,964.46

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1.5x scale

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.