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Finding the Fourth Proportional to 470,097.25, 705,426.07 and 170,601.24

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Solution

The fourth proportional to 470,097.25, 705,426.07 and 170,601.24 is: 256,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,097.25 : 705,426.07 = 170,601.24 : x
  2. Step 2: Convert to fraction form
    470,097.25/705,426.07 = 170,601.24/x
  3. Step 3: Cross multiply
    470,097.25x = 705,426.07 × 170,601.24
  4. Step 4: Simplify right side
    470,097.25x = 120,346,562,270.33
  5. Step 5: Solve for x
    x = 120,346,562,270.33/470,097.25
  6. Step 6: Final answer
    x = 256,003.54

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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.