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Finding the Fourth Proportional to 512,730.10, 707,563.38 and 283,286.67

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Solution

The fourth proportional to 512,730.10, 707,563.38 and 283,286.67 is: 390,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,730.10 : 707,563.38 = 283,286.67 : x
  2. Step 2: Convert to fraction form
    512,730.10/707,563.38 = 283,286.67/x
  3. Step 3: Cross multiply
    512,730.10x = 707,563.38 × 283,286.67
  4. Step 4: Simplify right side
    512,730.10x = 200,443,272,143.11
  5. Step 5: Solve for x
    x = 200,443,272,143.11/512,730.10
  6. Step 6: Final answer
    x = 390,933.30

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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.