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Finding the Fourth Proportional to 512,116.40, 706,615.10 and 294,283

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Solution

The fourth proportional to 512,116.40, 706,615.10 and 294,283 is: 406,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,116.40 : 706,615.10 = 294,283 : x
  2. Step 2: Convert to fraction form
    512,116.40/706,615.10 = 294,283/x
  3. Step 3: Cross multiply
    512,116.40x = 706,615.10 × 294,283
  4. Step 4: Simplify right side
    512,116.40x = 207,944,811,473.30
  5. Step 5: Solve for x
    x = 207,944,811,473.30/512,116.40
  6. Step 6: Final answer
    x = 406,049.90

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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.