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Finding the Fourth Proportional to 337,476.70, 506,224.14 and 147,839.50

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Solution

The fourth proportional to 337,476.70, 506,224.14 and 147,839.50 is: 221,763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,476.70 : 506,224.14 = 147,839.50 : x
  2. Step 2: Convert to fraction form
    337,476.70/506,224.14 = 147,839.50/x
  3. Step 3: Cross multiply
    337,476.70x = 506,224.14 × 147,839.50
  4. Step 4: Simplify right side
    337,476.70x = 74,839,923,745.53
  5. Step 5: Solve for x
    x = 74,839,923,745.53/337,476.70
  6. Step 6: Final answer
    x = 221,763.23

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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.