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Finding the Fourth Proportional to 496,672.30, 745,022.13 and 181,364.14

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Solution

The fourth proportional to 496,672.30, 745,022.13 and 181,364.14 is: 272,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,672.30 : 745,022.13 = 181,364.14 : x
  2. Step 2: Convert to fraction form
    496,672.30/745,022.13 = 181,364.14/x
  3. Step 3: Cross multiply
    496,672.30x = 745,022.13 × 181,364.14
  4. Step 4: Simplify right side
    496,672.30x = 135,120,297,888.42
  5. Step 5: Solve for x
    x = 135,120,297,888.42/496,672.30
  6. Step 6: Final answer
    x = 272,051.21

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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.