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Finding the Fourth Proportional to 337,448.08, 465,728.70 and 194,197.96

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Solution

The fourth proportional to 337,448.08, 465,728.70 and 194,197.96 is: 268,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,448.08 : 465,728.70 = 194,197.96 : x
  2. Step 2: Convert to fraction form
    337,448.08/465,728.70 = 194,197.96/x
  3. Step 3: Cross multiply
    337,448.08x = 465,728.70 × 194,197.96
  4. Step 4: Simplify right side
    337,448.08x = 90,443,563,453.45
  5. Step 5: Solve for x
    x = 90,443,563,453.45/337,448.08
  6. Step 6: Final answer
    x = 268,022.16

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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.