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Finding the Fourth Proportional to 363,282.64, 501,390.12 and 212,350.48

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Solution

The fourth proportional to 363,282.64, 501,390.12 and 212,350.48 is: 293,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,282.64 : 501,390.12 = 212,350.48 : x
  2. Step 2: Convert to fraction form
    363,282.64/501,390.12 = 212,350.48/x
  3. Step 3: Cross multiply
    363,282.64x = 501,390.12 × 212,350.48
  4. Step 4: Simplify right side
    363,282.64x = 106,470,432,649.26
  5. Step 5: Solve for x
    x = 106,470,432,649.26/363,282.64
  6. Step 6: Final answer
    x = 293,078.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.