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Finding the Fourth Proportional to 470,502.47, 705,357.01 and 204,062.39

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Solution

The fourth proportional to 470,502.47, 705,357.01 and 204,062.39 is: 305,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,502.47 : 705,357.01 = 204,062.39 : x
  2. Step 2: Convert to fraction form
    470,502.47/705,357.01 = 204,062.39/x
  3. Step 3: Cross multiply
    470,502.47x = 705,357.01 × 204,062.39
  4. Step 4: Simplify right side
    470,502.47x = 143,936,836,637.24
  5. Step 5: Solve for x
    x = 143,936,836,637.24/470,502.47
  6. Step 6: Final answer
    x = 305,921.53

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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.