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Finding the Fourth Proportional to 470,503.98, 705,359.27 and 204,063.89

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Solution

The fourth proportional to 470,503.98, 705,359.27 and 204,063.89 is: 305,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,503.98 : 705,359.27 = 204,063.89 : x
  2. Step 2: Convert to fraction form
    470,503.98/705,359.27 = 204,063.89/x
  3. Step 3: Cross multiply
    470,503.98x = 705,359.27 × 204,063.89
  4. Step 4: Simplify right side
    470,503.98x = 143,938,351,936.65
  5. Step 5: Solve for x
    x = 143,938,351,936.65/470,503.98
  6. Step 6: Final answer
    x = 305,923.77

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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.