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Finding the Fourth Proportional to 313,895.28, 470,695.56 and 114,074.80

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Solution

The fourth proportional to 313,895.28, 470,695.56 and 114,074.80 is: 171,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,895.28 : 470,695.56 = 114,074.80 : x
  2. Step 2: Convert to fraction form
    313,895.28/470,695.56 = 114,074.80/x
  3. Step 3: Cross multiply
    313,895.28x = 470,695.56 × 114,074.80
  4. Step 4: Simplify right side
    313,895.28x = 53,694,501,867.89
  5. Step 5: Solve for x
    x = 53,694,501,867.89/313,895.28
  6. Step 6: Final answer
    x = 171,058.65

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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.