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Finding the Fourth Proportional to 416,844, 575,245.10 and 225,857.39

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Solution

The fourth proportional to 416,844, 575,245.10 and 225,857.39 is: 311,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,844 : 575,245.10 = 225,857.39 : x
  2. Step 2: Convert to fraction form
    416,844/575,245.10 = 225,857.39/x
  3. Step 3: Cross multiply
    416,844x = 575,245.10 × 225,857.39
  4. Step 4: Simplify right side
    416,844x = 129,923,352,890.78
  5. Step 5: Solve for x
    x = 129,923,352,890.78/416,844
  6. Step 6: Final answer
    x = 311,683.39

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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.