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Finding the Fourth Proportional to 511,819.44, 706,451.40 and 297,028.68

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Solution

The fourth proportional to 511,819.44, 706,451.40 and 297,028.68 is: 409,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,819.44 : 706,451.40 = 297,028.68 : x
  2. Step 2: Convert to fraction form
    511,819.44/706,451.40 = 297,028.68/x
  3. Step 3: Cross multiply
    511,819.44x = 706,451.40 × 297,028.68
  4. Step 4: Simplify right side
    511,819.44x = 209,836,326,826.15
  5. Step 5: Solve for x
    x = 209,836,326,826.15/511,819.44
  6. Step 6: Final answer
    x = 409,981.16

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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.