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Finding the Fourth Proportional to 470,502.24, 705,356.61 and 204,062.07

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Solution

The fourth proportional to 470,502.24, 705,356.61 and 204,062.07 is: 305,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,502.24 : 705,356.61 = 204,062.07 : x
  2. Step 2: Convert to fraction form
    470,502.24/705,356.61 = 204,062.07/x
  3. Step 3: Cross multiply
    470,502.24x = 705,356.61 × 204,062.07
  4. Step 4: Simplify right side
    470,502.24x = 143,936,527,837.01
  5. Step 5: Solve for x
    x = 143,936,527,837.01/470,502.24
  6. Step 6: Final answer
    x = 305,921.03

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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.