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Finding the Fourth Proportional to 337,592.94, 465,995.49 and 194,410.02

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Solution

The fourth proportional to 337,592.94, 465,995.49 and 194,410.02 is: 268,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,592.94 : 465,995.49 = 194,410.02 : x
  2. Step 2: Convert to fraction form
    337,592.94/465,995.49 = 194,410.02/x
  3. Step 3: Cross multiply
    337,592.94x = 465,995.49 × 194,410.02
  4. Step 4: Simplify right side
    337,592.94x = 90,594,192,530.81
  5. Step 5: Solve for x
    x = 90,594,192,530.81/337,592.94
  6. Step 6: Final answer
    x = 268,353.34

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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.