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Finding the Fourth Proportional to 512,188.96, 706,820.88 and 285,829.60

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Solution

The fourth proportional to 512,188.96, 706,820.88 and 285,829.60 is: 394,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,188.96 : 706,820.88 = 285,829.60 : x
  2. Step 2: Convert to fraction form
    512,188.96/706,820.88 = 285,829.60/x
  3. Step 3: Cross multiply
    512,188.96x = 706,820.88 × 285,829.60
  4. Step 4: Simplify right side
    512,188.96x = 202,030,329,402.05
  5. Step 5: Solve for x
    x = 202,030,329,402.05/512,188.96
  6. Step 6: Final answer
    x = 394,444.91

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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.