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Finding the Fourth Proportional to 364,635.40, 503,222.30 and 203,493.14

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Solution

The fourth proportional to 364,635.40, 503,222.30 and 203,493.14 is: 280,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,635.40 : 503,222.30 = 203,493.14 : x
  2. Step 2: Convert to fraction form
    364,635.40/503,222.30 = 203,493.14/x
  3. Step 3: Cross multiply
    364,635.40x = 503,222.30 × 203,493.14
  4. Step 4: Simplify right side
    364,635.40x = 102,402,285,945.02
  5. Step 5: Solve for x
    x = 102,402,285,945.02/364,635.40
  6. Step 6: Final answer
    x = 280,834.74

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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.