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Finding the Fourth Proportional to 269,506.70, 404,551.65 and 151,408.70

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Solution

The fourth proportional to 269,506.70, 404,551.65 and 151,408.70 is: 227,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,506.70 : 404,551.65 = 151,408.70 : x
  2. Step 2: Convert to fraction form
    269,506.70/404,551.65 = 151,408.70/x
  3. Step 3: Cross multiply
    269,506.70x = 404,551.65 × 151,408.70
  4. Step 4: Simplify right side
    269,506.70x = 61,252,639,409.36
  5. Step 5: Solve for x
    x = 61,252,639,409.36/269,506.70
  6. Step 6: Final answer
    x = 227,276.87

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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.