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Finding the Fourth Proportional to 337,471.38, 506,994.39 and 197,328.42

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Solution

The fourth proportional to 337,471.38, 506,994.39 and 197,328.42 is: 296,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,471.38 : 506,994.39 = 197,328.42 : x
  2. Step 2: Convert to fraction form
    337,471.38/506,994.39 = 197,328.42/x
  3. Step 3: Cross multiply
    337,471.38x = 506,994.39 × 197,328.42
  4. Step 4: Simplify right side
    337,471.38x = 100,044,401,927.56
  5. Step 5: Solve for x
    x = 100,044,401,927.56/337,471.38
  6. Step 6: Final answer
    x = 296,453.00

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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.