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Finding the Fourth Proportional to 313,744.72, 470,231.52 and 145,036.84

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Solution

The fourth proportional to 313,744.72, 470,231.52 and 145,036.84 is: 217,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,744.72 : 470,231.52 = 145,036.84 : x
  2. Step 2: Convert to fraction form
    313,744.72/470,231.52 = 145,036.84/x
  3. Step 3: Cross multiply
    313,744.72x = 470,231.52 × 145,036.84
  4. Step 4: Simplify right side
    313,744.72x = 68,200,893,729.20
  5. Step 5: Solve for x
    x = 68,200,893,729.20/313,744.72
  6. Step 6: Final answer
    x = 217,377.02

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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.