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Finding the Fourth Proportional to 507,704.88, 761,308.52 and 208,103.97

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Solution

The fourth proportional to 507,704.88, 761,308.52 and 208,103.97 is: 312,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,704.88 : 761,308.52 = 208,103.97 : x
  2. Step 2: Convert to fraction form
    507,704.88/761,308.52 = 208,103.97/x
  3. Step 3: Cross multiply
    507,704.88x = 761,308.52 × 208,103.97
  4. Step 4: Simplify right side
    507,704.88x = 158,431,324,366.31
  5. Step 5: Solve for x
    x = 158,431,324,366.31/507,704.88
  6. Step 6: Final answer
    x = 312,053.97

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Why These Related Problems?

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