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Finding the Fourth Proportional to 321,856.25, 482,667.69 and 144,271.85

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Solution

The fourth proportional to 321,856.25, 482,667.69 and 144,271.85 is: 216,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,856.25 : 482,667.69 = 144,271.85 : x
  2. Step 2: Convert to fraction form
    321,856.25/482,667.69 = 144,271.85/x
  3. Step 3: Cross multiply
    321,856.25x = 482,667.69 × 144,271.85
  4. Step 4: Simplify right side
    321,856.25x = 69,635,360,571.53
  5. Step 5: Solve for x
    x = 69,635,360,571.53/321,856.25
  6. Step 6: Final answer
    x = 216,355.47

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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.