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Finding the Fourth Proportional to 619,680.24, 929,408.52 and 164,274.48

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Solution

The fourth proportional to 619,680.24, 929,408.52 and 164,274.48 is: 246,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,680.24 : 929,408.52 = 164,274.48 : x
  2. Step 2: Convert to fraction form
    619,680.24/929,408.52 = 164,274.48/x
  3. Step 3: Cross multiply
    619,680.24x = 929,408.52 × 164,274.48
  4. Step 4: Simplify right side
    619,680.24x = 152,678,101,330.57
  5. Step 5: Solve for x
    x = 152,678,101,330.57/619,680.24
  6. Step 6: Final answer
    x = 246,382.07

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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.