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Finding the Fourth Proportional to 362,275.81, 499,942.43 and 226,388.72

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Solution

The fourth proportional to 362,275.81, 499,942.43 and 226,388.72 is: 312,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,275.81 : 499,942.43 = 226,388.72 : x
  2. Step 2: Convert to fraction form
    362,275.81/499,942.43 = 226,388.72/x
  3. Step 3: Cross multiply
    362,275.81x = 499,942.43 × 226,388.72
  4. Step 4: Simplify right side
    362,275.81x = 113,181,327,768.26
  5. Step 5: Solve for x
    x = 113,181,327,768.26/362,275.81
  6. Step 6: Final answer
    x = 312,417.57

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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.