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Finding the Fourth Proportional to 313,770.08, 470,713.44 and 103,422.88

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Solution

The fourth proportional to 313,770.08, 470,713.44 and 103,422.88 is: 155,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,770.08 : 470,713.44 = 103,422.88 : x
  2. Step 2: Convert to fraction form
    313,770.08/470,713.44 = 103,422.88/x
  3. Step 3: Cross multiply
    313,770.08x = 470,713.44 × 103,422.88
  4. Step 4: Simplify right side
    313,770.08x = 48,682,539,619.51
  5. Step 5: Solve for x
    x = 48,682,539,619.51/313,770.08
  6. Step 6: Final answer
    x = 155,153.54

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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.