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Finding the Fourth Proportional to 413,559.44, 620,397.24 and 203,205.68

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Solution

The fourth proportional to 413,559.44, 620,397.24 and 203,205.68 is: 304,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,559.44 : 620,397.24 = 203,205.68 : x
  2. Step 2: Convert to fraction form
    413,559.44/620,397.24 = 203,205.68/x
  3. Step 3: Cross multiply
    413,559.44x = 620,397.24 × 203,205.68
  4. Step 4: Simplify right side
    413,559.44x = 126,068,243,024.32
  5. Step 5: Solve for x
    x = 126,068,243,024.32/413,559.44
  6. Step 6: Final answer
    x = 304,837.06

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Why These Related Problems?

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