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Finding the Fourth Proportional to 313,868.80, 470,803.20 and 274,502.80

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Solution

The fourth proportional to 313,868.80, 470,803.20 and 274,502.80 is: 411,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,868.80 : 470,803.20 = 274,502.80 : x
  2. Step 2: Convert to fraction form
    313,868.80/470,803.20 = 274,502.80/x
  3. Step 3: Cross multiply
    313,868.80x = 470,803.20 × 274,502.80
  4. Step 4: Simplify right side
    313,868.80x = 129,236,796,648.96
  5. Step 5: Solve for x
    x = 129,236,796,648.96/313,868.80
  6. Step 6: Final answer
    x = 411,754.20

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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.