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Finding the Fourth Proportional to 822,518, 1,233,801.24 and 223,475.92

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Solution

The fourth proportional to 822,518, 1,233,801.24 and 223,475.92 is: 335,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,518 : 1,233,801.24 = 223,475.92 : x
  2. Step 2: Convert to fraction form
    822,518/1,233,801.24 = 223,475.92/x
  3. Step 3: Cross multiply
    822,518x = 1,233,801.24 × 223,475.92
  4. Step 4: Simplify right side
    822,518x = 275,724,867,206.14
  5. Step 5: Solve for x
    x = 275,724,867,206.14/822,518
  6. Step 6: Final answer
    x = 335,220.47

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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.