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Finding the Fourth Proportional to 822,516, 1,233,798.24 and 223,473.92

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Solution

The fourth proportional to 822,516, 1,233,798.24 and 223,473.92 is: 335,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,516 : 1,233,798.24 = 223,473.92 : x
  2. Step 2: Convert to fraction form
    822,516/1,233,798.24 = 223,473.92/x
  3. Step 3: Cross multiply
    822,516x = 1,233,798.24 × 223,473.92
  4. Step 4: Simplify right side
    822,516x = 275,721,729,181.90
  5. Step 5: Solve for x
    x = 275,721,729,181.90/822,516
  6. Step 6: Final answer
    x = 335,217.47

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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.