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Finding the Fourth Proportional to 502,872.52, 693,982.74 and 301,629.64

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Solution

The fourth proportional to 502,872.52, 693,982.74 and 301,629.64 is: 416,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,872.52 : 693,982.74 = 301,629.64 : x
  2. Step 2: Convert to fraction form
    502,872.52/693,982.74 = 301,629.64/x
  3. Step 3: Cross multiply
    502,872.52x = 693,982.74 × 301,629.64
  4. Step 4: Simplify right side
    502,872.52x = 209,325,764,032.41
  5. Step 5: Solve for x
    x = 209,325,764,032.41/502,872.52
  6. Step 6: Final answer
    x = 416,260.10

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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.