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Finding the Fourth Proportional to 321,876.96, 444,197.50 and 178,646.23

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Solution

The fourth proportional to 321,876.96, 444,197.50 and 178,646.23 is: 246,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,876.96 : 444,197.50 = 178,646.23 : x
  2. Step 2: Convert to fraction form
    321,876.96/444,197.50 = 178,646.23/x
  3. Step 3: Cross multiply
    321,876.96x = 444,197.50 × 178,646.23
  4. Step 4: Simplify right side
    321,876.96x = 79,354,208,750.43
  5. Step 5: Solve for x
    x = 79,354,208,750.43/321,876.96
  6. Step 6: Final answer
    x = 246,535.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.