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Finding the Fourth Proportional to 313,912.70, 470,897.85 and 103,551.10

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Solution

The fourth proportional to 313,912.70, 470,897.85 and 103,551.10 is: 155,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,912.70 : 470,897.85 = 103,551.10 : x
  2. Step 2: Convert to fraction form
    313,912.70/470,897.85 = 103,551.10/x
  3. Step 3: Cross multiply
    313,912.70x = 470,897.85 × 103,551.10
  4. Step 4: Simplify right side
    313,912.70x = 48,761,990,355.14
  5. Step 5: Solve for x
    x = 48,761,990,355.14/313,912.70
  6. Step 6: Final answer
    x = 155,336.15

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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.