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Finding the Fourth Proportional to 496,810.42, 745,227.92 and 181,267.31

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Solution

The fourth proportional to 496,810.42, 745,227.92 and 181,267.31 is: 271,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,810.42 : 745,227.92 = 181,267.31 : x
  2. Step 2: Convert to fraction form
    496,810.42/745,227.92 = 181,267.31/x
  3. Step 3: Cross multiply
    496,810.42x = 745,227.92 × 181,267.31
  4. Step 4: Simplify right side
    496,810.42x = 135,085,462,711.53
  5. Step 5: Solve for x
    x = 135,085,462,711.53/496,810.42
  6. Step 6: Final answer
    x = 271,905.46

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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.