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Finding the Fourth Proportional to 384,278.96, 576,439.46 and 159,662.10

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Solution

The fourth proportional to 384,278.96, 576,439.46 and 159,662.10 is: 239,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,278.96 : 576,439.46 = 159,662.10 : x
  2. Step 2: Convert to fraction form
    384,278.96/576,439.46 = 159,662.10/x
  3. Step 3: Cross multiply
    384,278.96x = 576,439.46 × 159,662.10
  4. Step 4: Simplify right side
    384,278.96x = 92,035,533,908.16
  5. Step 5: Solve for x
    x = 92,035,533,908.16/384,278.96
  6. Step 6: Final answer
    x = 239,501.88

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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.