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Finding the Fourth Proportional to 413,818.10, 620,842.35 and 203,462.90

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Solution

The fourth proportional to 413,818.10, 620,842.35 and 203,462.90 is: 305,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,818.10 : 620,842.35 = 203,462.90 : x
  2. Step 2: Convert to fraction form
    413,818.10/620,842.35 = 203,462.90/x
  3. Step 3: Cross multiply
    413,818.10x = 620,842.35 × 203,462.90
  4. Step 4: Simplify right side
    413,818.10x = 126,318,384,973.82
  5. Step 5: Solve for x
    x = 126,318,384,973.82/413,818.10
  6. Step 6: Final answer
    x = 305,250.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.