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Finding the Fourth Proportional to 313,491.92, 470,237.88 and 103,073.36

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Solution

The fourth proportional to 313,491.92, 470,237.88 and 103,073.36 is: 154,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,491.92 : 470,237.88 = 103,073.36 : x
  2. Step 2: Convert to fraction form
    313,491.92/470,237.88 = 103,073.36/x
  3. Step 3: Cross multiply
    313,491.92x = 470,237.88 × 103,073.36
  4. Step 4: Simplify right side
    313,491.92x = 48,468,998,290.88
  5. Step 5: Solve for x
    x = 48,468,998,290.88/313,491.92
  6. Step 6: Final answer
    x = 154,610.04

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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.