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Finding the Fourth Proportional to 471,010.35, 706,679.55 and 204,961.80

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Solution

The fourth proportional to 471,010.35, 706,679.55 and 204,961.80 is: 307,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,010.35 : 706,679.55 = 204,961.80 : x
  2. Step 2: Convert to fraction form
    471,010.35/706,679.55 = 204,961.80/x
  3. Step 3: Cross multiply
    471,010.35x = 706,679.55 × 204,961.80
  4. Step 4: Simplify right side
    471,010.35x = 144,842,312,591.19
  5. Step 5: Solve for x
    x = 144,842,312,591.19/471,010.35
  6. Step 6: Final answer
    x = 307,514.08

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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.