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Finding the Fourth Proportional to 397,063.64, 595,706.64 and 160,572.44

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Solution

The fourth proportional to 397,063.64, 595,706.64 and 160,572.44 is: 240,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,063.64 : 595,706.64 = 160,572.44 : x
  2. Step 2: Convert to fraction form
    397,063.64/595,706.64 = 160,572.44/x
  3. Step 3: Cross multiply
    397,063.64x = 595,706.64 × 160,572.44
  4. Step 4: Simplify right side
    397,063.64x = 95,654,068,709.00
  5. Step 5: Solve for x
    x = 95,654,068,709.00/397,063.64
  6. Step 6: Final answer
    x = 240,903.62

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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.