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Finding the Fourth Proportional to 322,444.89, 483,678.18 and 144,952.49

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Solution

The fourth proportional to 322,444.89, 483,678.18 and 144,952.49 is: 217,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,444.89 : 483,678.18 = 144,952.49 : x
  2. Step 2: Convert to fraction form
    322,444.89/483,678.18 = 144,952.49/x
  3. Step 3: Cross multiply
    322,444.89x = 483,678.18 × 144,952.49
  4. Step 4: Simplify right side
    322,444.89x = 70,110,355,824.91
  5. Step 5: Solve for x
    x = 70,110,355,824.91/322,444.89
  6. Step 6: Final answer
    x = 217,433.61

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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.