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Finding the Fourth Proportional to 364,314.72, 502,753.34 and 203,169.96

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Solution

The fourth proportional to 364,314.72, 502,753.34 and 203,169.96 is: 280,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,314.72 : 502,753.34 = 203,169.96 : x
  2. Step 2: Convert to fraction form
    364,314.72/502,753.34 = 203,169.96/x
  3. Step 3: Cross multiply
    364,314.72x = 502,753.34 × 203,169.96
  4. Step 4: Simplify right side
    364,314.72x = 102,144,375,977.67
  5. Step 5: Solve for x
    x = 102,144,375,977.67/364,314.72
  6. Step 6: Final answer
    x = 280,374.00

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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.