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Finding the Fourth Proportional to 226,878.84, 313,178.22 and 170,453.16

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Solution

The fourth proportional to 226,878.84, 313,178.22 and 170,453.16 is: 235,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,878.84 : 313,178.22 = 170,453.16 : x
  2. Step 2: Convert to fraction form
    226,878.84/313,178.22 = 170,453.16/x
  3. Step 3: Cross multiply
    226,878.84x = 313,178.22 × 170,453.16
  4. Step 4: Simplify right side
    226,878.84x = 53,382,217,242.18
  5. Step 5: Solve for x
    x = 53,382,217,242.18/226,878.84
  6. Step 6: Final answer
    x = 235,289.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.