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Finding the Fourth Proportional to 433,455.44, 598,288.72 and 252,202.38

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Solution

The fourth proportional to 433,455.44, 598,288.72 and 252,202.38 is: 348,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,455.44 : 598,288.72 = 252,202.38 : x
  2. Step 2: Convert to fraction form
    433,455.44/598,288.72 = 252,202.38/x
  3. Step 3: Cross multiply
    433,455.44x = 598,288.72 × 252,202.38
  4. Step 4: Simplify right side
    433,455.44x = 150,889,839,111.15
  5. Step 5: Solve for x
    x = 150,889,839,111.15/433,455.44
  6. Step 6: Final answer
    x = 348,109.23

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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.