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Finding the Fourth Proportional to 543,910.76, 815,790.79 and 144,584

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Solution

The fourth proportional to 543,910.76, 815,790.79 and 144,584 is: 216,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,910.76 : 815,790.79 = 144,584 : x
  2. Step 2: Convert to fraction form
    543,910.76/815,790.79 = 144,584/x
  3. Step 3: Cross multiply
    543,910.76x = 815,790.79 × 144,584
  4. Step 4: Simplify right side
    543,910.76x = 117,950,295,581.36
  5. Step 5: Solve for x
    x = 117,950,295,581.36/543,910.76
  6. Step 6: Final answer
    x = 216,855.97

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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.