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Finding the Fourth Proportional to 477,171.52, 715,738.57 and 161,628.41

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Solution

The fourth proportional to 477,171.52, 715,738.57 and 161,628.41 is: 242,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,171.52 : 715,738.57 = 161,628.41 : x
  2. Step 2: Convert to fraction form
    477,171.52/715,738.57 = 161,628.41/x
  3. Step 3: Cross multiply
    477,171.52x = 715,738.57 × 161,628.41
  4. Step 4: Simplify right side
    477,171.52x = 115,683,687,044.77
  5. Step 5: Solve for x
    x = 115,683,687,044.77/477,171.52
  6. Step 6: Final answer
    x = 242,436.28

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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.