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Finding the Fourth Proportional to 313,909.36, 470,716.44 and 114,088.72

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Solution

The fourth proportional to 313,909.36, 470,716.44 and 114,088.72 is: 171,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,909.36 : 470,716.44 = 114,088.72 : x
  2. Step 2: Convert to fraction form
    313,909.36/470,716.44 = 114,088.72/x
  3. Step 3: Cross multiply
    313,909.36x = 470,716.44 × 114,088.72
  4. Step 4: Simplify right side
    313,909.36x = 53,703,436,122.56
  5. Step 5: Solve for x
    x = 53,703,436,122.56/313,909.36
  6. Step 6: Final answer
    x = 171,079.44

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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.