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Finding the Fourth Proportional to 364,998.72, 503,692.80 and 203,856.48

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Solution

The fourth proportional to 364,998.72, 503,692.80 and 203,856.48 is: 281,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,998.72 : 503,692.80 = 203,856.48 : x
  2. Step 2: Convert to fraction form
    364,998.72/503,692.80 = 203,856.48/x
  3. Step 3: Cross multiply
    364,998.72x = 503,692.80 × 203,856.48
  4. Step 4: Simplify right side
    364,998.72x = 102,681,041,209.34
  5. Step 5: Solve for x
    x = 102,681,041,209.34/364,998.72
  6. Step 6: Final answer
    x = 281,318.91

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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.