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Finding the Fourth Proportional to 378,410.49, 567,767.25 and 153,788.22

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Solution

The fourth proportional to 378,410.49, 567,767.25 and 153,788.22 is: 230,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,410.49 : 567,767.25 = 153,788.22 : x
  2. Step 2: Convert to fraction form
    378,410.49/567,767.25 = 153,788.22/x
  3. Step 3: Cross multiply
    378,410.49x = 567,767.25 × 153,788.22
  4. Step 4: Simplify right side
    378,410.49x = 87,315,914,751.80
  5. Step 5: Solve for x
    x = 87,315,914,751.80/378,410.49
  6. Step 6: Final answer
    x = 230,743.91

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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.