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Finding the Fourth Proportional to 277,409.12, 416,113.74 and 67,047.03

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Solution

The fourth proportional to 277,409.12, 416,113.74 and 67,047.03 is: 100,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,409.12 : 416,113.74 = 67,047.03 : x
  2. Step 2: Convert to fraction form
    277,409.12/416,113.74 = 67,047.03/x
  3. Step 3: Cross multiply
    277,409.12x = 416,113.74 × 67,047.03
  4. Step 4: Simplify right side
    277,409.12x = 27,899,190,409.19
  5. Step 5: Solve for x
    x = 27,899,190,409.19/277,409.12
  6. Step 6: Final answer
    x = 100,570.56

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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.