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Finding the Fourth Proportional to 347,912.70, 522,063.45 and 148,199.10

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Solution

The fourth proportional to 347,912.70, 522,063.45 and 148,199.10 is: 222,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,912.70 : 522,063.45 = 148,199.10 : x
  2. Step 2: Convert to fraction form
    347,912.70/522,063.45 = 148,199.10/x
  3. Step 3: Cross multiply
    347,912.70x = 522,063.45 × 148,199.10
  4. Step 4: Simplify right side
    347,912.70x = 77,369,333,432.90
  5. Step 5: Solve for x
    x = 77,369,333,432.90/347,912.70
  6. Step 6: Final answer
    x = 222,381.46

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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.