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Finding the Fourth Proportional to 322,163.40, 444,595.86 and 178,925.16

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Solution

The fourth proportional to 322,163.40, 444,595.86 and 178,925.16 is: 246,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,163.40 : 444,595.86 = 178,925.16 : x
  2. Step 2: Convert to fraction form
    322,163.40/444,595.86 = 178,925.16/x
  3. Step 3: Cross multiply
    322,163.40x = 444,595.86 × 178,925.16
  4. Step 4: Simplify right side
    322,163.40x = 79,549,385,385.84
  5. Step 5: Solve for x
    x = 79,549,385,385.84/322,163.40
  6. Step 6: Final answer
    x = 246,922.48

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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.