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Finding the Fourth Proportional to 470,585.84, 705,921.06 and 133,629.80

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Solution

The fourth proportional to 470,585.84, 705,921.06 and 133,629.80 is: 200,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,585.84 : 705,921.06 = 133,629.80 : x
  2. Step 2: Convert to fraction form
    470,585.84/705,921.06 = 133,629.80/x
  3. Step 3: Cross multiply
    470,585.84x = 705,921.06 × 133,629.80
  4. Step 4: Simplify right side
    470,585.84x = 94,332,090,063.59
  5. Step 5: Solve for x
    x = 94,332,090,063.59/470,585.84
  6. Step 6: Final answer
    x = 200,456.71

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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.