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Finding the Fourth Proportional to 277,524.61, 416,453 and 119,753.07

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Solution

The fourth proportional to 277,524.61, 416,453 and 119,753.07 is: 179,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,524.61 : 416,453 = 119,753.07 : x
  2. Step 2: Convert to fraction form
    277,524.61/416,453 = 119,753.07/x
  3. Step 3: Cross multiply
    277,524.61x = 416,453 × 119,753.07
  4. Step 4: Simplify right side
    277,524.61x = 49,871,525,260.71
  5. Step 5: Solve for x
    x = 49,871,525,260.71/277,524.61
  6. Step 6: Final answer
    x = 179,701.27

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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.