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Finding the Fourth Proportional to 322,385.60, 483,463.20 and 144,977.60

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Solution

The fourth proportional to 322,385.60, 483,463.20 and 144,977.60 is: 217,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,385.60 : 483,463.20 = 144,977.60 : x
  2. Step 2: Convert to fraction form
    322,385.60/483,463.20 = 144,977.60/x
  3. Step 3: Cross multiply
    322,385.60x = 483,463.20 × 144,977.60
  4. Step 4: Simplify right side
    322,385.60x = 70,091,334,424.32
  5. Step 5: Solve for x
    x = 70,091,334,424.32/322,385.60
  6. Step 6: Final answer
    x = 217,414.59

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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.