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Finding the Fourth Proportional to 512,586.56, 707,366.62 and 283,159.60

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Solution

The fourth proportional to 512,586.56, 707,366.62 and 283,159.60 is: 390,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,586.56 : 707,366.62 = 283,159.60 : x
  2. Step 2: Convert to fraction form
    512,586.56/707,366.62 = 283,159.60/x
  3. Step 3: Cross multiply
    512,586.56x = 707,366.62 × 283,159.60
  4. Step 4: Simplify right side
    512,586.56x = 200,297,649,172.55
  5. Step 5: Solve for x
    x = 200,297,649,172.55/512,586.56
  6. Step 6: Final answer
    x = 390,758.68

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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.