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Finding the Fourth Proportional to 502,694.44, 693,735.22 and 295,925.52

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Solution

The fourth proportional to 502,694.44, 693,735.22 and 295,925.52 is: 408,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,694.44 : 693,735.22 = 295,925.52 : x
  2. Step 2: Convert to fraction form
    502,694.44/693,735.22 = 295,925.52/x
  3. Step 3: Cross multiply
    502,694.44x = 693,735.22 × 295,925.52
  4. Step 4: Simplify right side
    502,694.44x = 205,293,955,720.81
  5. Step 5: Solve for x
    x = 205,293,955,720.81/502,694.44
  6. Step 6: Final answer
    x = 408,387.16

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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.