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Finding the Fourth Proportional to 364,553.34, 503,085 and 203,415.18

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Solution

The fourth proportional to 364,553.34, 503,085 and 203,415.18 is: 280,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,553.34 : 503,085 = 203,415.18 : x
  2. Step 2: Convert to fraction form
    364,553.34/503,085 = 203,415.18/x
  3. Step 3: Cross multiply
    364,553.34x = 503,085 × 203,415.18
  4. Step 4: Simplify right side
    364,553.34x = 102,335,125,830.30
  5. Step 5: Solve for x
    x = 102,335,125,830.30/364,553.34
  6. Step 6: Final answer
    x = 280,713.72

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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.