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Finding the Fourth Proportional to 470,519.70, 705,382.74 and 204,079.50

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Solution

The fourth proportional to 470,519.70, 705,382.74 and 204,079.50 is: 305,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,519.70 : 705,382.74 = 204,079.50 : x
  2. Step 2: Convert to fraction form
    470,519.70/705,382.74 = 204,079.50/x
  3. Step 3: Cross multiply
    470,519.70x = 705,382.74 × 204,079.50
  4. Step 4: Simplify right side
    470,519.70x = 143,954,156,887.83
  5. Step 5: Solve for x
    x = 143,954,156,887.83/470,519.70
  6. Step 6: Final answer
    x = 305,947.14

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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.