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Finding the Fourth Proportional to 337,522.68, 465,767.34 and 194,287.80

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Solution

The fourth proportional to 337,522.68, 465,767.34 and 194,287.80 is: 268,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,522.68 : 465,767.34 = 194,287.80 : x
  2. Step 2: Convert to fraction form
    337,522.68/465,767.34 = 194,287.80/x
  3. Step 3: Cross multiply
    337,522.68x = 465,767.34 × 194,287.80
  4. Step 4: Simplify right side
    337,522.68x = 90,492,911,800.45
  5. Step 5: Solve for x
    x = 90,492,911,800.45/337,522.68
  6. Step 6: Final answer
    x = 268,109.13

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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.