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Finding the Fourth Proportional to 470,364.17, 705,546.18 and 204,118.79

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Solution

The fourth proportional to 470,364.17, 705,546.18 and 204,118.79 is: 306,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,364.17 : 705,546.18 = 204,118.79 : x
  2. Step 2: Convert to fraction form
    470,364.17/705,546.18 = 204,118.79/x
  3. Step 3: Cross multiply
    470,364.17x = 705,546.18 × 204,118.79
  4. Step 4: Simplify right side
    470,364.17x = 144,015,229,022.99
  5. Step 5: Solve for x
    x = 144,015,229,022.99/470,364.17
  6. Step 6: Final answer
    x = 306,178.15

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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.