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Finding the Fourth Proportional to 613,278.47, 919,853.01 and 164,044.68

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Solution

The fourth proportional to 613,278.47, 919,853.01 and 164,044.68 is: 246,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,278.47 : 919,853.01 = 164,044.68 : x
  2. Step 2: Convert to fraction form
    613,278.47/919,853.01 = 164,044.68/x
  3. Step 3: Cross multiply
    613,278.47x = 919,853.01 × 164,044.68
  4. Step 4: Simplify right side
    613,278.47x = 150,896,989,223.04
  5. Step 5: Solve for x
    x = 150,896,989,223.04/613,278.47
  6. Step 6: Final answer
    x = 246,049.71

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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.