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Finding the Fourth Proportional to 264,322.25, 364,496.59 and 226,208.31

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Solution

The fourth proportional to 264,322.25, 364,496.59 and 226,208.31 is: 311,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,322.25 : 364,496.59 = 226,208.31 : x
  2. Step 2: Convert to fraction form
    264,322.25/364,496.59 = 226,208.31/x
  3. Step 3: Cross multiply
    264,322.25x = 364,496.59 × 226,208.31
  4. Step 4: Simplify right side
    264,322.25x = 82,452,157,624.66
  5. Step 5: Solve for x
    x = 82,452,157,624.66/264,322.25
  6. Step 6: Final answer
    x = 311,938.01

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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.