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Finding the Fourth Proportional to 310,010.70, 465,016.05 and 110,556.30

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Solution

The fourth proportional to 310,010.70, 465,016.05 and 110,556.30 is: 165,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,010.70 : 465,016.05 = 110,556.30 : x
  2. Step 2: Convert to fraction form
    310,010.70/465,016.05 = 110,556.30/x
  3. Step 3: Cross multiply
    310,010.70x = 465,016.05 × 110,556.30
  4. Step 4: Simplify right side
    310,010.70x = 51,410,453,928.62
  5. Step 5: Solve for x
    x = 51,410,453,928.62/310,010.70
  6. Step 6: Final answer
    x = 165,834.45

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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.