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Finding the Fourth Proportional to 635,324.57, 953,103.80 and 208,884.48

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Solution

The fourth proportional to 635,324.57, 953,103.80 and 208,884.48 is: 313,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,324.57 : 953,103.80 = 208,884.48 : x
  2. Step 2: Convert to fraction form
    635,324.57/953,103.80 = 208,884.48/x
  3. Step 3: Cross multiply
    635,324.57x = 953,103.80 × 208,884.48
  4. Step 4: Simplify right side
    635,324.57x = 199,088,591,649.02
  5. Step 5: Solve for x
    x = 199,088,591,649.02/635,324.57
  6. Step 6: Final answer
    x = 313,365.17

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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.