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Finding the Fourth Proportional to 307,465.20, 461,284.20 and 149,698.80

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Solution

The fourth proportional to 307,465.20, 461,284.20 and 149,698.80 is: 224,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,465.20 : 461,284.20 = 149,698.80 : x
  2. Step 2: Convert to fraction form
    307,465.20/461,284.20 = 149,698.80/x
  3. Step 3: Cross multiply
    307,465.20x = 461,284.20 × 149,698.80
  4. Step 4: Simplify right side
    307,465.20x = 69,053,691,198.96
  5. Step 5: Solve for x
    x = 69,053,691,198.96/307,465.20
  6. Step 6: Final answer
    x = 224,590.27

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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.