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Finding the Fourth Proportional to 353,215.52, 487,422.58 and 200,264

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Solution

The fourth proportional to 353,215.52, 487,422.58 and 200,264 is: 276,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,215.52 : 487,422.58 = 200,264 : x
  2. Step 2: Convert to fraction form
    353,215.52/487,422.58 = 200,264/x
  3. Step 3: Cross multiply
    353,215.52x = 487,422.58 × 200,264
  4. Step 4: Simplify right side
    353,215.52x = 97,613,195,561.12
  5. Step 5: Solve for x
    x = 97,613,195,561.12/353,215.52
  6. Step 6: Final answer
    x = 276,355.91

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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.