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Finding the Fourth Proportional to 329,714.97, 491,609.49 and 301,564.79

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Solution

The fourth proportional to 329,714.97, 491,609.49 and 301,564.79 is: 449,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,714.97 : 491,609.49 = 301,564.79 : x
  2. Step 2: Convert to fraction form
    329,714.97/491,609.49 = 301,564.79/x
  3. Step 3: Cross multiply
    329,714.97x = 491,609.49 × 301,564.79
  4. Step 4: Simplify right side
    329,714.97x = 148,252,110,155.81
  5. Step 5: Solve for x
    x = 148,252,110,155.81/329,714.97
  6. Step 6: Final answer
    x = 449,637.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.