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Finding the Fourth Proportional to 470,499.16, 705,352.02 and 204,059

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Solution

The fourth proportional to 470,499.16, 705,352.02 and 204,059 is: 305,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,499.16 : 705,352.02 = 204,059 : x
  2. Step 2: Convert to fraction form
    470,499.16/705,352.02 = 204,059/x
  3. Step 3: Cross multiply
    470,499.16x = 705,352.02 × 204,059
  4. Step 4: Simplify right side
    470,499.16x = 143,933,427,849.18
  5. Step 5: Solve for x
    x = 143,933,427,849.18/470,499.16
  6. Step 6: Final answer
    x = 305,916.44

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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.