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Finding the Fourth Proportional to 635,296.59, 952,742.80 and 208,734.09

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Solution

The fourth proportional to 635,296.59, 952,742.80 and 208,734.09 is: 313,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,296.59 : 952,742.80 = 208,734.09 : x
  2. Step 2: Convert to fraction form
    635,296.59/952,742.80 = 208,734.09/x
  3. Step 3: Cross multiply
    635,296.59x = 952,742.80 × 208,734.09
  4. Step 4: Simplify right side
    635,296.59x = 198,869,900,840.22
  5. Step 5: Solve for x
    x = 198,869,900,840.22/635,296.59
  6. Step 6: Final answer
    x = 313,034.74

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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.