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Finding the Fourth Proportional to 470,521.20, 705,384.96 and 204,081

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Solution

The fourth proportional to 470,521.20, 705,384.96 and 204,081 is: 305,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,521.20 : 705,384.96 = 204,081 : x
  2. Step 2: Convert to fraction form
    470,521.20/705,384.96 = 204,081/x
  3. Step 3: Cross multiply
    470,521.20x = 705,384.96 × 204,081
  4. Step 4: Simplify right side
    470,521.20x = 143,955,668,021.76
  5. Step 5: Solve for x
    x = 143,955,668,021.76/470,521.20
  6. Step 6: Final answer
    x = 305,949.38

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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.