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Finding the Fourth Proportional to 496,726.86, 745,201.40 and 181,183.77

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Solution

The fourth proportional to 496,726.86, 745,201.40 and 181,183.77 is: 271,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,726.86 : 745,201.40 = 181,183.77 : x
  2. Step 2: Convert to fraction form
    496,726.86/745,201.40 = 181,183.77/x
  3. Step 3: Cross multiply
    496,726.86x = 745,201.40 × 181,183.77
  4. Step 4: Simplify right side
    496,726.86x = 135,018,398,155.36
  5. Step 5: Solve for x
    x = 135,018,398,155.36/496,726.86
  6. Step 6: Final answer
    x = 271,816.18

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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.