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Finding the Fourth Proportional to 512,494.56, 707,269.34 and 286,126.56

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Solution

The fourth proportional to 512,494.56, 707,269.34 and 286,126.56 is: 394,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,494.56 : 707,269.34 = 286,126.56 : x
  2. Step 2: Convert to fraction form
    512,494.56/707,269.34 = 286,126.56/x
  3. Step 3: Cross multiply
    512,494.56x = 707,269.34 × 286,126.56
  4. Step 4: Simplify right side
    512,494.56x = 202,368,543,247.67
  5. Step 5: Solve for x
    x = 202,368,543,247.67/512,494.56
  6. Step 6: Final answer
    x = 394,869.64

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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.