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Finding the Fourth Proportional to 384,220.24, 576,279.31 and 114,343.54

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Solution

The fourth proportional to 384,220.24, 576,279.31 and 114,343.54 is: 171,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,220.24 : 576,279.31 = 114,343.54 : x
  2. Step 2: Convert to fraction form
    384,220.24/576,279.31 = 114,343.54/x
  3. Step 3: Cross multiply
    384,220.24x = 576,279.31 × 114,343.54
  4. Step 4: Simplify right side
    384,220.24x = 65,893,812,881.04
  5. Step 5: Solve for x
    x = 65,893,812,881.04/384,220.24
  6. Step 6: Final answer
    x = 171,500.11

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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.