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Finding the Fourth Proportional to 334,065.44, 501,021.48 and 199,167.68

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Solution

The fourth proportional to 334,065.44, 501,021.48 and 199,167.68 is: 298,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,065.44 : 501,021.48 = 199,167.68 : x
  2. Step 2: Convert to fraction form
    334,065.44/501,021.48 = 199,167.68/x
  3. Step 3: Cross multiply
    334,065.44x = 501,021.48 × 199,167.68
  4. Step 4: Simplify right side
    334,065.44x = 99,787,285,801.77
  5. Step 5: Solve for x
    x = 99,787,285,801.77/334,065.44
  6. Step 6: Final answer
    x = 298,705.80

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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.