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Finding the Fourth Proportional to 277,837.64, 416,756.45 and 67,474.16

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Solution

The fourth proportional to 277,837.64, 416,756.45 and 67,474.16 is: 101,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,837.64 : 416,756.45 = 67,474.16 : x
  2. Step 2: Convert to fraction form
    277,837.64/416,756.45 = 67,474.16/x
  3. Step 3: Cross multiply
    277,837.64x = 416,756.45 × 67,474.16
  4. Step 4: Simplify right side
    277,837.64x = 28,120,289,473.24
  5. Step 5: Solve for x
    x = 28,120,289,473.24/277,837.64
  6. Step 6: Final answer
    x = 101,211.23

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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.