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Finding the Fourth Proportional to 512,953.82, 707,912.91 and 283,506.18

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Solution

The fourth proportional to 512,953.82, 707,912.91 and 283,506.18 is: 391,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,953.82 : 707,912.91 = 283,506.18 : x
  2. Step 2: Convert to fraction form
    512,953.82/707,912.91 = 283,506.18/x
  3. Step 3: Cross multiply
    512,953.82x = 707,912.91 × 283,506.18
  4. Step 4: Simplify right side
    512,953.82x = 200,697,684,886.78
  5. Step 5: Solve for x
    x = 200,697,684,886.78/512,953.82
  6. Step 6: Final answer
    x = 391,258.78

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Why These Related Problems?

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