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Finding the Fourth Proportional to 313,561.22, 470,946.90 and 268,683.98

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Solution

The fourth proportional to 313,561.22, 470,946.90 and 268,683.98 is: 403,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,561.22 : 470,946.90 = 268,683.98 : x
  2. Step 2: Convert to fraction form
    313,561.22/470,946.90 = 268,683.98/x
  3. Step 3: Cross multiply
    313,561.22x = 470,946.90 × 268,683.98
  4. Step 4: Simplify right side
    313,561.22x = 126,535,887,460.66
  5. Step 5: Solve for x
    x = 126,535,887,460.66/313,561.22
  6. Step 6: Final answer
    x = 403,544.44

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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.