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Finding the Fourth Proportional to 353,118.54, 487,293.38 and 200,170.86

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Solution

The fourth proportional to 353,118.54, 487,293.38 and 200,170.86 is: 276,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,118.54 : 487,293.38 = 200,170.86 : x
  2. Step 2: Convert to fraction form
    353,118.54/487,293.38 = 200,170.86/x
  3. Step 3: Cross multiply
    353,118.54x = 487,293.38 × 200,170.86
  4. Step 4: Simplify right side
    353,118.54x = 97,541,934,946.91
  5. Step 5: Solve for x
    x = 97,541,934,946.91/353,118.54
  6. Step 6: Final answer
    x = 276,230.00

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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.