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Finding the Fourth Proportional to 294,647.10, 441,679.05 and 144,764.70

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Solution

The fourth proportional to 294,647.10, 441,679.05 and 144,764.70 is: 217,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,647.10 : 441,679.05 = 144,764.70 : x
  2. Step 2: Convert to fraction form
    294,647.10/441,679.05 = 144,764.70/x
  3. Step 3: Cross multiply
    294,647.10x = 441,679.05 × 144,764.70
  4. Step 4: Simplify right side
    294,647.10x = 63,939,535,169.54
  5. Step 5: Solve for x
    x = 63,939,535,169.54/294,647.10
  6. Step 6: Final answer
    x = 217,003.78

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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.