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Finding the Fourth Proportional to 363,238.86, 501,257.01 and 199,880.10

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Solution

The fourth proportional to 363,238.86, 501,257.01 and 199,880.10 is: 275,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,238.86 : 501,257.01 = 199,880.10 : x
  2. Step 2: Convert to fraction form
    363,238.86/501,257.01 = 199,880.10/x
  3. Step 3: Cross multiply
    363,238.86x = 501,257.01 × 199,880.10
  4. Step 4: Simplify right side
    363,238.86x = 100,191,301,284.50
  5. Step 5: Solve for x
    x = 100,191,301,284.50/363,238.86
  6. Step 6: Final answer
    x = 275,827.60

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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.