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Finding the Fourth Proportional to 313,562.22, 470,948.40 and 268,684.98

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Solution

The fourth proportional to 313,562.22, 470,948.40 and 268,684.98 is: 403,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,562.22 : 470,948.40 = 268,684.98 : x
  2. Step 2: Convert to fraction form
    313,562.22/470,948.40 = 268,684.98/x
  3. Step 3: Cross multiply
    313,562.22x = 470,948.40 × 268,684.98
  4. Step 4: Simplify right side
    313,562.22x = 126,536,761,435.03
  5. Step 5: Solve for x
    x = 126,536,761,435.03/313,562.22
  6. Step 6: Final answer
    x = 403,545.94

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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.