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Finding the Fourth Proportional to 470,691.42, 705,815.37 and 170,960.64

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Solution

The fourth proportional to 470,691.42, 705,815.37 and 170,960.64 is: 256,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,691.42 : 705,815.37 = 170,960.64 : x
  2. Step 2: Convert to fraction form
    470,691.42/705,815.37 = 170,960.64/x
  3. Step 3: Cross multiply
    470,691.42x = 705,815.37 × 170,960.64
  4. Step 4: Simplify right side
    470,691.42x = 120,666,647,377.04
  5. Step 5: Solve for x
    x = 120,666,647,377.04/470,691.42
  6. Step 6: Final answer
    x = 256,360.41

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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.