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Finding the Fourth Proportional to 313,523.94, 470,410.54 and 100,324.70

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Solution

The fourth proportional to 313,523.94, 470,410.54 and 100,324.70 is: 150,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,523.94 : 470,410.54 = 100,324.70 : x
  2. Step 2: Convert to fraction form
    313,523.94/470,410.54 = 100,324.70/x
  3. Step 3: Cross multiply
    313,523.94x = 470,410.54 × 100,324.70
  4. Step 4: Simplify right side
    313,523.94x = 47,193,796,302.34
  5. Step 5: Solve for x
    x = 47,193,796,302.34/313,523.94
  6. Step 6: Final answer
    x = 150,526.93

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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.