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Finding the Fourth Proportional to 307,422.60, 461,133.90 and 222,785.70

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Solution

The fourth proportional to 307,422.60, 461,133.90 and 222,785.70 is: 334,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,422.60 : 461,133.90 = 222,785.70 : x
  2. Step 2: Convert to fraction form
    307,422.60/461,133.90 = 222,785.70/x
  3. Step 3: Cross multiply
    307,422.60x = 461,133.90 × 222,785.70
  4. Step 4: Simplify right side
    307,422.60x = 102,734,038,705.23
  5. Step 5: Solve for x
    x = 102,734,038,705.23/307,422.60
  6. Step 6: Final answer
    x = 334,178.55

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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.