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Finding the Fourth Proportional to 337,882.46, 506,290.10 and 274,393.64

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Solution

The fourth proportional to 337,882.46, 506,290.10 and 274,393.64 is: 411,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,882.46 : 506,290.10 = 274,393.64 : x
  2. Step 2: Convert to fraction form
    337,882.46/506,290.10 = 274,393.64/x
  3. Step 3: Cross multiply
    337,882.46x = 506,290.10 × 274,393.64
  4. Step 4: Simplify right side
    337,882.46x = 138,922,783,328.72
  5. Step 5: Solve for x
    x = 138,922,783,328.72/337,882.46
  6. Step 6: Final answer
    x = 411,157.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.