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Finding the Fourth Proportional to 375,596.52, 518,327.28 and 205,827

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Solution

The fourth proportional to 375,596.52, 518,327.28 and 205,827 is: 284,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,596.52 : 518,327.28 = 205,827 : x
  2. Step 2: Convert to fraction form
    375,596.52/518,327.28 = 205,827/x
  3. Step 3: Cross multiply
    375,596.52x = 518,327.28 × 205,827
  4. Step 4: Simplify right side
    375,596.52x = 106,685,749,060.56
  5. Step 5: Solve for x
    x = 106,685,749,060.56/375,596.52
  6. Step 6: Final answer
    x = 284,043.50

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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.