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Finding the Fourth Proportional to 470,079.75, 705,399.82 and 170,583.71

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Solution

The fourth proportional to 470,079.75, 705,399.82 and 170,583.71 is: 255,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,079.75 : 705,399.82 = 170,583.71 : x
  2. Step 2: Convert to fraction form
    470,079.75/705,399.82 = 170,583.71/x
  3. Step 3: Cross multiply
    470,079.75x = 705,399.82 × 170,583.71
  4. Step 4: Simplify right side
    470,079.75x = 120,329,714,375.47
  5. Step 5: Solve for x
    x = 120,329,714,375.47/470,079.75
  6. Step 6: Final answer
    x = 255,977.23

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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.