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Finding the Fourth Proportional to 496,661.80, 745,006.38 and 181,353.64

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Solution

The fourth proportional to 496,661.80, 745,006.38 and 181,353.64 is: 272,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,661.80 : 745,006.38 = 181,353.64 : x
  2. Step 2: Convert to fraction form
    496,661.80/745,006.38 = 181,353.64/x
  3. Step 3: Cross multiply
    496,661.80x = 745,006.38 × 181,353.64
  4. Step 4: Simplify right side
    496,661.80x = 135,109,618,836.22
  5. Step 5: Solve for x
    x = 135,109,618,836.22/496,661.80
  6. Step 6: Final answer
    x = 272,035.46

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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.