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Finding the Fourth Proportional to 337,967.82, 466,418.16 and 194,737.14

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Solution

The fourth proportional to 337,967.82, 466,418.16 and 194,737.14 is: 268,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,967.82 : 466,418.16 = 194,737.14 : x
  2. Step 2: Convert to fraction form
    337,967.82/466,418.16 = 194,737.14/x
  3. Step 3: Cross multiply
    337,967.82x = 466,418.16 × 194,737.14
  4. Step 4: Simplify right side
    337,967.82x = 90,828,938,522.46
  5. Step 5: Solve for x
    x = 90,828,938,522.46/337,967.82
  6. Step 6: Final answer
    x = 268,750.26

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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.