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Finding the Fourth Proportional to 512,199.40, 706,874.34 and 282,800.92

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Solution

The fourth proportional to 512,199.40, 706,874.34 and 282,800.92 is: 390,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,199.40 : 706,874.34 = 282,800.92 : x
  2. Step 2: Convert to fraction form
    512,199.40/706,874.34 = 282,800.92/x
  3. Step 3: Cross multiply
    512,199.40x = 706,874.34 × 282,800.92
  4. Step 4: Simplify right side
    512,199.40x = 199,904,713,676.39
  5. Step 5: Solve for x
    x = 199,904,713,676.39/512,199.40
  6. Step 6: Final answer
    x = 390,286.90

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