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Finding the Fourth Proportional to 809,183, 1,213,832.82 and 310,547

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Solution

The fourth proportional to 809,183, 1,213,832.82 and 310,547 is: 465,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,183 : 1,213,832.82 = 310,547 : x
  2. Step 2: Convert to fraction form
    809,183/1,213,832.82 = 310,547/x
  3. Step 3: Cross multiply
    809,183x = 1,213,832.82 × 310,547
  4. Step 4: Simplify right side
    809,183x = 376,952,140,752.54
  5. Step 5: Solve for x
    x = 376,952,140,752.54/809,183
  6. Step 6: Final answer
    x = 465,842.88

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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.