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Finding the Fourth Proportional to 299,699.35, 412,743.13 and 293,167.51

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Solution

The fourth proportional to 299,699.35, 412,743.13 and 293,167.51 is: 403,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,699.35 : 412,743.13 = 293,167.51 : x
  2. Step 2: Convert to fraction form
    299,699.35/412,743.13 = 293,167.51/x
  3. Step 3: Cross multiply
    299,699.35x = 412,743.13 × 293,167.51
  4. Step 4: Simplify right side
    299,699.35x = 121,002,875,691.71
  5. Step 5: Solve for x
    x = 121,002,875,691.71/299,699.35
  6. Step 6: Final answer
    x = 403,747.54

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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.