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Finding the Fourth Proportional to 470,502.36, 705,356.79 and 204,062.19

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Solution

The fourth proportional to 470,502.36, 705,356.79 and 204,062.19 is: 305,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,502.36 : 705,356.79 = 204,062.19 : x
  2. Step 2: Convert to fraction form
    470,502.36/705,356.79 = 204,062.19/x
  3. Step 3: Cross multiply
    470,502.36x = 705,356.79 × 204,062.19
  4. Step 4: Simplify right side
    470,502.36x = 143,936,654,268.24
  5. Step 5: Solve for x
    x = 143,936,654,268.24/470,502.36
  6. Step 6: Final answer
    x = 305,921.22

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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.