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Finding the Fourth Proportional to 416,159.48, 574,296 and 225,168.68

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Solution

The fourth proportional to 416,159.48, 574,296 and 225,168.68 is: 310,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,159.48 : 574,296 = 225,168.68 : x
  2. Step 2: Convert to fraction form
    416,159.48/574,296 = 225,168.68/x
  3. Step 3: Cross multiply
    416,159.48x = 574,296 × 225,168.68
  4. Step 4: Simplify right side
    416,159.48x = 129,313,472,249.28
  5. Step 5: Solve for x
    x = 129,313,472,249.28/416,159.48
  6. Step 6: Final answer
    x = 310,730.57

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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.