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Finding the Fourth Proportional to 512,080.50, 767,915.37 and 212,357.46

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Solution

The fourth proportional to 512,080.50, 767,915.37 and 212,357.46 is: 318,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,080.50 : 767,915.37 = 212,357.46 : x
  2. Step 2: Convert to fraction form
    512,080.50/767,915.37 = 212,357.46/x
  3. Step 3: Cross multiply
    512,080.50x = 767,915.37 × 212,357.46
  4. Step 4: Simplify right side
    512,080.50x = 163,072,557,468.16
  5. Step 5: Solve for x
    x = 163,072,557,468.16/512,080.50
  6. Step 6: Final answer
    x = 318,451.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.