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Finding the Fourth Proportional to 347,052.80, 520,233.60 and 159,737.60

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Solution

The fourth proportional to 347,052.80, 520,233.60 and 159,737.60 is: 239,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,052.80 : 520,233.60 = 159,737.60 : x
  2. Step 2: Convert to fraction form
    347,052.80/520,233.60 = 159,737.60/x
  3. Step 3: Cross multiply
    347,052.80x = 520,233.60 × 159,737.60
  4. Step 4: Simplify right side
    347,052.80x = 83,100,866,703.36
  5. Step 5: Solve for x
    x = 83,100,866,703.36/347,052.80
  6. Step 6: Final answer
    x = 239,447.33

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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.