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Finding the Fourth Proportional to 313,388.25, 470,269.17 and 113,724.22

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Solution

The fourth proportional to 313,388.25, 470,269.17 and 113,724.22 is: 170,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,388.25 : 470,269.17 = 113,724.22 : x
  2. Step 2: Convert to fraction form
    313,388.25/470,269.17 = 113,724.22/x
  3. Step 3: Cross multiply
    313,388.25x = 470,269.17 × 113,724.22
  4. Step 4: Simplify right side
    313,388.25x = 53,480,994,548.30
  5. Step 5: Solve for x
    x = 53,480,994,548.30/313,388.25
  6. Step 6: Final answer
    x = 170,654.12

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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.