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Finding the Fourth Proportional to 313,136.92, 469,790.07 and 223,293.10

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Solution

The fourth proportional to 313,136.92, 469,790.07 and 223,293.10 is: 335,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,136.92 : 469,790.07 = 223,293.10 : x
  2. Step 2: Convert to fraction form
    313,136.92/469,790.07 = 223,293.10/x
  3. Step 3: Cross multiply
    313,136.92x = 469,790.07 × 223,293.10
  4. Step 4: Simplify right side
    313,136.92x = 104,900,881,079.52
  5. Step 5: Solve for x
    x = 104,900,881,079.52/313,136.92
  6. Step 6: Final answer
    x = 335,000.04

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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.