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Finding the Fourth Proportional to 496,721.72, 745,193.69 and 181,178.63

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Solution

The fourth proportional to 496,721.72, 745,193.69 and 181,178.63 is: 271,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,721.72 : 745,193.69 = 181,178.63 : x
  2. Step 2: Convert to fraction form
    496,721.72/745,193.69 = 181,178.63/x
  3. Step 3: Cross multiply
    496,721.72x = 745,193.69 × 181,178.63
  4. Step 4: Simplify right side
    496,721.72x = 135,013,168,112.88
  5. Step 5: Solve for x
    x = 135,013,168,112.88/496,721.72
  6. Step 6: Final answer
    x = 271,808.46

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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.