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Finding the Fourth Proportional to 299,530.07, 412,649.01 and 208,721.24

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Solution

The fourth proportional to 299,530.07, 412,649.01 and 208,721.24 is: 287,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,530.07 : 412,649.01 = 208,721.24 : x
  2. Step 2: Convert to fraction form
    299,530.07/412,649.01 = 208,721.24/x
  3. Step 3: Cross multiply
    299,530.07x = 412,649.01 × 208,721.24
  4. Step 4: Simplify right side
    299,530.07x = 86,128,614,083.59
  5. Step 5: Solve for x
    x = 86,128,614,083.59/299,530.07
  6. Step 6: Final answer
    x = 287,545.80

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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.