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Finding the Fourth Proportional to 313,876.60, 470,123.70 and 278,855.80

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Solution

The fourth proportional to 313,876.60, 470,123.70 and 278,855.80 is: 417,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,876.60 : 470,123.70 = 278,855.80 : x
  2. Step 2: Convert to fraction form
    313,876.60/470,123.70 = 278,855.80/x
  3. Step 3: Cross multiply
    313,876.60x = 470,123.70 × 278,855.80
  4. Step 4: Simplify right side
    313,876.60x = 131,096,720,462.46
  5. Step 5: Solve for x
    x = 131,096,720,462.46/313,876.60
  6. Step 6: Final answer
    x = 417,669.62

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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.