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Finding the Fourth Proportional to 397,271.10, 595,404.45 and 160,481.10

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Solution

The fourth proportional to 397,271.10, 595,404.45 and 160,481.10 is: 240,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,271.10 : 595,404.45 = 160,481.10 : x
  2. Step 2: Convert to fraction form
    397,271.10/595,404.45 = 160,481.10/x
  3. Step 3: Cross multiply
    397,271.10x = 595,404.45 × 160,481.10
  4. Step 4: Simplify right side
    397,271.10x = 95,551,161,080.90
  5. Step 5: Solve for x
    x = 95,551,161,080.90/397,271.10
  6. Step 6: Final answer
    x = 240,518.78

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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.