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Finding the Fourth Proportional to 511,788.20, 706,039.30 and 296,803.64

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Solution

The fourth proportional to 511,788.20, 706,039.30 and 296,803.64 is: 409,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,788.20 : 706,039.30 = 296,803.64 : x
  2. Step 2: Convert to fraction form
    511,788.20/706,039.30 = 296,803.64/x
  3. Step 3: Cross multiply
    511,788.20x = 706,039.30 × 296,803.64
  4. Step 4: Simplify right side
    511,788.20x = 209,555,034,223.05
  5. Step 5: Solve for x
    x = 209,555,034,223.05/511,788.20
  6. Step 6: Final answer
    x = 409,456.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.