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Finding the Fourth Proportional to 321,956.60, 482,934.90 and 144,469.40

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Solution

The fourth proportional to 321,956.60, 482,934.90 and 144,469.40 is: 216,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,956.60 : 482,934.90 = 144,469.40 : x
  2. Step 2: Convert to fraction form
    321,956.60/482,934.90 = 144,469.40/x
  3. Step 3: Cross multiply
    321,956.60x = 482,934.90 × 144,469.40
  4. Step 4: Simplify right side
    321,956.60x = 69,769,315,242.06
  5. Step 5: Solve for x
    x = 69,769,315,242.06/321,956.60
  6. Step 6: Final answer
    x = 216,704.10

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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.