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Finding the Fourth Proportional to 496,731.63, 745,208.50 and 181,188.52

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Solution

The fourth proportional to 496,731.63, 745,208.50 and 181,188.52 is: 271,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,731.63 : 745,208.50 = 181,188.52 : x
  2. Step 2: Convert to fraction form
    496,731.63/745,208.50 = 181,188.52/x
  3. Step 3: Cross multiply
    496,731.63x = 745,208.50 × 181,188.52
  4. Step 4: Simplify right side
    496,731.63x = 135,023,224,753.45
  5. Step 5: Solve for x
    x = 135,023,224,753.45/496,731.63
  6. Step 6: Final answer
    x = 271,823.29

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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.