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Finding the Fourth Proportional to 337,584.86, 465,924.40 and 194,427.80

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Solution

The fourth proportional to 337,584.86, 465,924.40 and 194,427.80 is: 268,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,584.86 : 465,924.40 = 194,427.80 : x
  2. Step 2: Convert to fraction form
    337,584.86/465,924.40 = 194,427.80/x
  3. Step 3: Cross multiply
    337,584.86x = 465,924.40 × 194,427.80
  4. Step 4: Simplify right side
    337,584.86x = 90,588,653,242.63
  5. Step 5: Solve for x
    x = 90,588,653,242.63/337,584.86
  6. Step 6: Final answer
    x = 268,343.35

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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.