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Finding the Fourth Proportional to 496,730.25, 745,206.44 and 181,187.15

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Solution

The fourth proportional to 496,730.25, 745,206.44 and 181,187.15 is: 271,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,730.25 : 745,206.44 = 181,187.15 : x
  2. Step 2: Convert to fraction form
    496,730.25/745,206.44 = 181,187.15/x
  3. Step 3: Cross multiply
    496,730.25x = 745,206.44 × 181,187.15
  4. Step 4: Simplify right side
    496,730.25x = 135,021,826,393.28
  5. Step 5: Solve for x
    x = 135,021,826,393.28/496,730.25
  6. Step 6: Final answer
    x = 271,821.23

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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.