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Finding the Fourth Proportional to 470,364.67, 705,546.93 and 204,119.29

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Solution

The fourth proportional to 470,364.67, 705,546.93 and 204,119.29 is: 306,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,364.67 : 705,546.93 = 204,119.29 : x
  2. Step 2: Convert to fraction form
    470,364.67/705,546.93 = 204,119.29/x
  3. Step 3: Cross multiply
    470,364.67x = 705,546.93 × 204,119.29
  4. Step 4: Simplify right side
    470,364.67x = 144,015,734,885.55
  5. Step 5: Solve for x
    x = 144,015,734,885.55/470,364.67
  6. Step 6: Final answer
    x = 306,178.90

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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.