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Finding the Fourth Proportional to 470,537.85, 705,409.93 and 204,097.76

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Solution

The fourth proportional to 470,537.85, 705,409.93 and 204,097.76 is: 305,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,537.85 : 705,409.93 = 204,097.76 : x
  2. Step 2: Convert to fraction form
    470,537.85/705,409.93 = 204,097.76/x
  3. Step 3: Cross multiply
    470,537.85x = 705,409.93 × 204,097.76
  4. Step 4: Simplify right side
    470,537.85x = 143,972,586,594.76
  5. Step 5: Solve for x
    x = 143,972,586,594.76/470,537.85
  6. Step 6: Final answer
    x = 305,974.51

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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.