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Finding the Fourth Proportional to 408,967.14, 564,315.21 and 239,168.46

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Solution

The fourth proportional to 408,967.14, 564,315.21 and 239,168.46 is: 330,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,967.14 : 564,315.21 = 239,168.46 : x
  2. Step 2: Convert to fraction form
    408,967.14/564,315.21 = 239,168.46/x
  3. Step 3: Cross multiply
    408,967.14x = 564,315.21 × 239,168.46
  4. Step 4: Simplify right side
    408,967.14x = 134,966,399,730.28
  5. Step 5: Solve for x
    x = 134,966,399,730.28/408,967.14
  6. Step 6: Final answer
    x = 330,017.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.