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Finding the Fourth Proportional to 322,539.28, 483,642.24 and 144,894.40

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Solution

The fourth proportional to 322,539.28, 483,642.24 and 144,894.40 is: 217,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,539.28 : 483,642.24 = 144,894.40 : x
  2. Step 2: Convert to fraction form
    322,539.28/483,642.24 = 144,894.40/x
  3. Step 3: Cross multiply
    322,539.28x = 483,642.24 × 144,894.40
  4. Step 4: Simplify right side
    322,539.28x = 70,077,052,179.46
  5. Step 5: Solve for x
    x = 70,077,052,179.46/322,539.28
  6. Step 6: Final answer
    x = 217,266.72

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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.