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Finding the Fourth Proportional to 277,661.16, 416,491.80 and 67,299.12

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Solution

The fourth proportional to 277,661.16, 416,491.80 and 67,299.12 is: 100,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,661.16 : 416,491.80 = 67,299.12 : x
  2. Step 2: Convert to fraction form
    277,661.16/416,491.80 = 67,299.12/x
  3. Step 3: Cross multiply
    277,661.16x = 416,491.80 × 67,299.12
  4. Step 4: Simplify right side
    277,661.16x = 28,029,531,627.22
  5. Step 5: Solve for x
    x = 28,029,531,627.22/277,661.16
  6. Step 6: Final answer
    x = 100,948.69

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1.5x scale

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.