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Finding the Fourth Proportional to 512,415.44, 707,133.35 and 286,060.94

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Solution

The fourth proportional to 512,415.44, 707,133.35 and 286,060.94 is: 394,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,415.44 : 707,133.35 = 286,060.94 : x
  2. Step 2: Convert to fraction form
    512,415.44/707,133.35 = 286,060.94/x
  3. Step 3: Cross multiply
    512,415.44x = 707,133.35 × 286,060.94
  4. Step 4: Simplify right side
    512,415.44x = 202,283,230,806.35
  5. Step 5: Solve for x
    x = 202,283,230,806.35/512,415.44
  6. Step 6: Final answer
    x = 394,764.12

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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.