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Finding the Fourth Proportional to 322,595.15, 483,991.14 and 164,934.32

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Solution

The fourth proportional to 322,595.15, 483,991.14 and 164,934.32 is: 247,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,595.15 : 483,991.14 = 164,934.32 : x
  2. Step 2: Convert to fraction form
    322,595.15/483,991.14 = 164,934.32/x
  3. Step 3: Cross multiply
    322,595.15x = 483,991.14 × 164,934.32
  4. Step 4: Simplify right side
    322,595.15x = 79,826,749,561.92
  5. Step 5: Solve for x
    x = 79,826,749,561.92/322,595.15
  6. Step 6: Final answer
    x = 247,451.80

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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.