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Finding the Fourth Proportional to 406,296, 560,671.20 and 225,007.20

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Solution

The fourth proportional to 406,296, 560,671.20 and 225,007.20 is: 310,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,296 : 560,671.20 = 225,007.20 : x
  2. Step 2: Convert to fraction form
    406,296/560,671.20 = 225,007.20/x
  3. Step 3: Cross multiply
    406,296x = 560,671.20 × 225,007.20
  4. Step 4: Simplify right side
    406,296x = 126,155,056,832.64
  5. Step 5: Solve for x
    x = 126,155,056,832.64/406,296
  6. Step 6: Final answer
    x = 310,500.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.