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Finding the Fourth Proportional to 313,955.46, 470,949.53 and 103,609.80

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Solution

The fourth proportional to 313,955.46, 470,949.53 and 103,609.80 is: 155,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,955.46 : 470,949.53 = 103,609.80 : x
  2. Step 2: Convert to fraction form
    313,955.46/470,949.53 = 103,609.80/x
  3. Step 3: Cross multiply
    313,955.46x = 470,949.53 × 103,609.80
  4. Step 4: Simplify right side
    313,955.46x = 48,794,986,095.35
  5. Step 5: Solve for x
    x = 48,794,986,095.35/313,955.46
  6. Step 6: Final answer
    x = 155,420.09

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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.