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Finding the Fourth Proportional to 313,507.74, 470,253.39 and 111,100.89

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Solution

The fourth proportional to 313,507.74, 470,253.39 and 111,100.89 is: 166,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,507.74 : 470,253.39 = 111,100.89 : x
  2. Step 2: Convert to fraction form
    313,507.74/470,253.39 = 111,100.89/x
  3. Step 3: Cross multiply
    313,507.74x = 470,253.39 × 111,100.89
  4. Step 4: Simplify right side
    313,507.74x = 52,245,570,154.52
  5. Step 5: Solve for x
    x = 52,245,570,154.52/313,507.74
  6. Step 6: Final answer
    x = 166,648.42

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1.5x scale

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.