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Finding the Fourth Proportional to 313,505.22, 470,862.90 and 268,627.98

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Solution

The fourth proportional to 313,505.22, 470,862.90 and 268,627.98 is: 403,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,505.22 : 470,862.90 = 268,627.98 : x
  2. Step 2: Convert to fraction form
    313,505.22/470,862.90 = 268,627.98/x
  3. Step 3: Cross multiply
    313,505.22x = 470,862.90 × 268,627.98
  4. Step 4: Simplify right side
    313,505.22x = 126,486,949,683.94
  5. Step 5: Solve for x
    x = 126,486,949,683.94/313,505.22
  6. Step 6: Final answer
    x = 403,460.43

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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.