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Finding the Fourth Proportional to 512,187.40, 706,857.78 and 282,788.92

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Solution

The fourth proportional to 512,187.40, 706,857.78 and 282,788.92 is: 390,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,187.40 : 706,857.78 = 282,788.92 : x
  2. Step 2: Convert to fraction form
    512,187.40/706,857.78 = 282,788.92/x
  3. Step 3: Cross multiply
    512,187.40x = 706,857.78 × 282,788.92
  4. Step 4: Simplify right side
    512,187.40x = 199,891,548,199.80
  5. Step 5: Solve for x
    x = 199,891,548,199.80/512,187.40
  6. Step 6: Final answer
    x = 390,270.34

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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.