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Finding the Fourth Proportional to 470,887.65, 706,315.65 and 204,648.20

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Solution

The fourth proportional to 470,887.65, 706,315.65 and 204,648.20 is: 306,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,887.65 : 706,315.65 = 204,648.20 : x
  2. Step 2: Convert to fraction form
    470,887.65/706,315.65 = 204,648.20/x
  3. Step 3: Cross multiply
    470,887.65x = 706,315.65 × 204,648.20
  4. Step 4: Simplify right side
    470,887.65x = 144,546,222,872.75
  5. Step 5: Solve for x
    x = 144,546,222,872.75/470,887.65
  6. Step 6: Final answer
    x = 306,965.41

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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.