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Finding the Fourth Proportional to 470,520.99, 705,384.73 and 204,080.84

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Solution

The fourth proportional to 470,520.99, 705,384.73 and 204,080.84 is: 305,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,520.99 : 705,384.73 = 204,080.84 : x
  2. Step 2: Convert to fraction form
    470,520.99/705,384.73 = 204,080.84/x
  3. Step 3: Cross multiply
    470,520.99x = 705,384.73 × 204,080.84
  4. Step 4: Simplify right side
    470,520.99x = 143,955,504,184.45
  5. Step 5: Solve for x
    x = 143,955,504,184.45/470,520.99
  6. Step 6: Final answer
    x = 305,949.17

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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.