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Finding the Fourth Proportional to 397,063.02, 595,705.72 and 160,571.78

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Solution

The fourth proportional to 397,063.02, 595,705.72 and 160,571.78 is: 240,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,063.02 : 595,705.72 = 160,571.78 : x
  2. Step 2: Convert to fraction form
    397,063.02/595,705.72 = 160,571.78/x
  3. Step 3: Cross multiply
    397,063.02x = 595,705.72 × 160,571.78
  4. Step 4: Simplify right side
    397,063.02x = 95,653,527,816.58
  5. Step 5: Solve for x
    x = 95,653,527,816.58/397,063.02
  6. Step 6: Final answer
    x = 240,902.64

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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.