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Finding the Fourth Proportional to 422,285.75, 633,428.46 and 169,566.16

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Solution

The fourth proportional to 422,285.75, 633,428.46 and 169,566.16 is: 254,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,285.75 : 633,428.46 = 169,566.16 : x
  2. Step 2: Convert to fraction form
    422,285.75/633,428.46 = 169,566.16/x
  3. Step 3: Cross multiply
    422,285.75x = 633,428.46 × 169,566.16
  4. Step 4: Simplify right side
    422,285.75x = 107,408,031,596.91
  5. Step 5: Solve for x
    x = 107,408,031,596.91/422,285.75
  6. Step 6: Final answer
    x = 254,349.17

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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.