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Finding the Fourth Proportional to 313,617.40, 470,378.10 and 103,255.80

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Solution

The fourth proportional to 313,617.40, 470,378.10 and 103,255.80 is: 154,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,617.40 : 470,378.10 = 103,255.80 : x
  2. Step 2: Convert to fraction form
    313,617.40/470,378.10 = 103,255.80/x
  3. Step 3: Cross multiply
    313,617.40x = 470,378.10 × 103,255.80
  4. Step 4: Simplify right side
    313,617.40x = 48,569,267,017.98
  5. Step 5: Solve for x
    x = 48,569,267,017.98/313,617.40
  6. Step 6: Final answer
    x = 154,867.90

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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.