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Finding the Fourth Proportional to 322,238.70, 482,621.76 and 153,876.96

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Solution

The fourth proportional to 322,238.70, 482,621.76 and 153,876.96 is: 230,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,238.70 : 482,621.76 = 153,876.96 : x
  2. Step 2: Convert to fraction form
    322,238.70/482,621.76 = 153,876.96/x
  3. Step 3: Cross multiply
    322,238.70x = 482,621.76 × 153,876.96
  4. Step 4: Simplify right side
    322,238.70x = 74,264,369,258.65
  5. Step 5: Solve for x
    x = 74,264,369,258.65/322,238.70
  6. Step 6: Final answer
    x = 230,463.84

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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.