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Finding the Fourth Proportional to 470,532.11, 705,401.28 and 204,091.92

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Solution

The fourth proportional to 470,532.11, 705,401.28 and 204,091.92 is: 305,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,532.11 : 705,401.28 = 204,091.92 : x
  2. Step 2: Convert to fraction form
    470,532.11/705,401.28 = 204,091.92/x
  3. Step 3: Cross multiply
    470,532.11x = 705,401.28 × 204,091.92
  4. Step 4: Simplify right side
    470,532.11x = 143,966,701,605.66
  5. Step 5: Solve for x
    x = 143,966,701,605.66/470,532.11
  6. Step 6: Final answer
    x = 305,965.74

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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.