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Finding the Fourth Proportional to 301,878.71, 416,632.13 and 194,760.36

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Solution

The fourth proportional to 301,878.71, 416,632.13 and 194,760.36 is: 268,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,878.71 : 416,632.13 = 194,760.36 : x
  2. Step 2: Convert to fraction form
    301,878.71/416,632.13 = 194,760.36/x
  3. Step 3: Cross multiply
    301,878.71x = 416,632.13 × 194,760.36
  4. Step 4: Simplify right side
    301,878.71x = 81,143,423,626.37
  5. Step 5: Solve for x
    x = 81,143,423,626.37/301,878.71
  6. Step 6: Final answer
    x = 268,794.79

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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.