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Finding the Fourth Proportional to 512,468.64, 707,212.01 and 283,031.65

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Solution

The fourth proportional to 512,468.64, 707,212.01 and 283,031.65 is: 390,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,468.64 : 707,212.01 = 283,031.65 : x
  2. Step 2: Convert to fraction form
    512,468.64/707,212.01 = 283,031.65/x
  3. Step 3: Cross multiply
    512,468.64x = 707,212.01 × 283,031.65
  4. Step 4: Simplify right side
    512,468.64x = 200,163,378,554.06
  5. Step 5: Solve for x
    x = 200,163,378,554.06/512,468.64
  6. Step 6: Final answer
    x = 390,586.59

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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.