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Finding the Fourth Proportional to 512,188.16, 706,820.28 and 285,833.84

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Solution

The fourth proportional to 512,188.16, 706,820.28 and 285,833.84 is: 394,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,188.16 : 706,820.28 = 285,833.84 : x
  2. Step 2: Convert to fraction form
    512,188.16/706,820.28 = 285,833.84/x
  3. Step 3: Cross multiply
    512,188.16x = 706,820.28 × 285,833.84
  4. Step 4: Simplify right side
    512,188.16x = 202,033,154,822.28
  5. Step 5: Solve for x
    x = 202,033,154,822.28/512,188.16
  6. Step 6: Final answer
    x = 394,451.04

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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.