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Finding the Fourth Proportional to 337,475.70, 506,222.64 and 147,838.50

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Solution

The fourth proportional to 337,475.70, 506,222.64 and 147,838.50 is: 221,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,475.70 : 506,222.64 = 147,838.50 : x
  2. Step 2: Convert to fraction form
    337,475.70/506,222.64 = 147,838.50/x
  3. Step 3: Cross multiply
    337,475.70x = 506,222.64 × 147,838.50
  4. Step 4: Simplify right side
    337,475.70x = 74,839,195,763.64
  5. Step 5: Solve for x
    x = 74,839,195,763.64/337,475.70
  6. Step 6: Final answer
    x = 221,761.73

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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.