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Finding the Fourth Proportional to 277,663.20, 416,494.80 and 67,301.16

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Solution

The fourth proportional to 277,663.20, 416,494.80 and 67,301.16 is: 100,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,663.20 : 416,494.80 = 67,301.16 : x
  2. Step 2: Convert to fraction form
    277,663.20/416,494.80 = 67,301.16/x
  3. Step 3: Cross multiply
    277,663.20x = 416,494.80 × 67,301.16
  4. Step 4: Simplify right side
    277,663.20x = 28,030,583,173.97
  5. Step 5: Solve for x
    x = 28,030,583,173.97/277,663.20
  6. Step 6: Final answer
    x = 100,951.74

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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.