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Finding the Fourth Proportional to 470,531.84, 705,400.92 and 204,091.66

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Solution

The fourth proportional to 470,531.84, 705,400.92 and 204,091.66 is: 305,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,531.84 : 705,400.92 = 204,091.66 : x
  2. Step 2: Convert to fraction form
    470,531.84/705,400.92 = 204,091.66/x
  3. Step 3: Cross multiply
    470,531.84x = 705,400.92 × 204,091.66
  4. Step 4: Simplify right side
    470,531.84x = 143,966,444,728.33
  5. Step 5: Solve for x
    x = 143,966,444,728.33/470,531.84
  6. Step 6: Final answer
    x = 305,965.36

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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.