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Finding the Fourth Proportional to 414,700.90, 622,707.45 and 314,973.70

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Solution

The fourth proportional to 414,700.90, 622,707.45 and 314,973.70 is: 472,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,700.90 : 622,707.45 = 314,973.70 : x
  2. Step 2: Convert to fraction form
    414,700.90/622,707.45 = 314,973.70/x
  3. Step 3: Cross multiply
    414,700.90x = 622,707.45 × 314,973.70
  4. Step 4: Simplify right side
    414,700.90x = 196,136,469,544.07
  5. Step 5: Solve for x
    x = 196,136,469,544.07/414,700.90
  6. Step 6: Final answer
    x = 472,958.87

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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.