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Finding the Fourth Proportional to 402,282.90, 603,764.55 and 165,795.30

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Solution

The fourth proportional to 402,282.90, 603,764.55 and 165,795.30 is: 248,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,282.90 : 603,764.55 = 165,795.30 : x
  2. Step 2: Convert to fraction form
    402,282.90/603,764.55 = 165,795.30/x
  3. Step 3: Cross multiply
    402,282.90x = 603,764.55 × 165,795.30
  4. Step 4: Simplify right side
    402,282.90x = 100,101,324,696.62
  5. Step 5: Solve for x
    x = 100,101,324,696.62/402,282.90
  6. Step 6: Final answer
    x = 248,833.16

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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.