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Finding the Fourth Proportional to 313,560.72, 470,946.15 and 268,683.48

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Solution

The fourth proportional to 313,560.72, 470,946.15 and 268,683.48 is: 403,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,560.72 : 470,946.15 = 268,683.48 : x
  2. Step 2: Convert to fraction form
    313,560.72/470,946.15 = 268,683.48/x
  3. Step 3: Cross multiply
    313,560.72x = 470,946.15 × 268,683.48
  4. Step 4: Simplify right side
    313,560.72x = 126,535,450,474.60
  5. Step 5: Solve for x
    x = 126,535,450,474.60/313,560.72
  6. Step 6: Final answer
    x = 403,543.69

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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.