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Finding the Fourth Proportional to 384,106.68, 576,309.24 and 159,410.88

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Solution

The fourth proportional to 384,106.68, 576,309.24 and 159,410.88 is: 239,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,106.68 : 576,309.24 = 159,410.88 : x
  2. Step 2: Convert to fraction form
    384,106.68/576,309.24 = 159,410.88/x
  3. Step 3: Cross multiply
    384,106.68x = 576,309.24 × 159,410.88
  4. Step 4: Simplify right side
    384,106.68x = 91,869,963,100.53
  5. Step 5: Solve for x
    x = 91,869,963,100.53/384,106.68
  6. Step 6: Final answer
    x = 239,178.25

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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.