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Finding the Fourth Proportional to 384,179.34, 576,144.38 and 127,943.66

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Solution

The fourth proportional to 384,179.34, 576,144.38 and 127,943.66 is: 191,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,179.34 : 576,144.38 = 127,943.66 : x
  2. Step 2: Convert to fraction form
    384,179.34/576,144.38 = 127,943.66/x
  3. Step 3: Cross multiply
    384,179.34x = 576,144.38 × 127,943.66
  4. Step 4: Simplify right side
    384,179.34x = 73,714,020,665.63
  5. Step 5: Solve for x
    x = 73,714,020,665.63/384,179.34
  6. Step 6: Final answer
    x = 191,873.98

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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.