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Finding the Fourth Proportional to 299,700.35, 412,744.51 and 293,168.51

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Solution

The fourth proportional to 299,700.35, 412,744.51 and 293,168.51 is: 403,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,700.35 : 412,744.51 = 293,168.51 : x
  2. Step 2: Convert to fraction form
    299,700.35/412,744.51 = 293,168.51/x
  3. Step 3: Cross multiply
    299,700.35x = 412,744.51 × 293,168.51
  4. Step 4: Simplify right side
    299,700.35x = 121,003,693,007.38
  5. Step 5: Solve for x
    x = 121,003,693,007.38/299,700.35
  6. Step 6: Final answer
    x = 403,748.92

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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.