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Finding the Fourth Proportional to 470,497.67, 705,349.77 and 204,057.51

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Solution

The fourth proportional to 470,497.67, 705,349.77 and 204,057.51 is: 305,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,497.67 : 705,349.77 = 204,057.51 : x
  2. Step 2: Convert to fraction form
    470,497.67/705,349.77 = 204,057.51/x
  3. Step 3: Cross multiply
    470,497.67x = 705,349.77 × 204,057.51
  4. Step 4: Simplify right side
    470,497.67x = 143,931,917,745.27
  5. Step 5: Solve for x
    x = 143,931,917,745.27/470,497.67
  6. Step 6: Final answer
    x = 305,914.20

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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.