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Finding the Fourth Proportional to 277,741, 383,281.86 and 150,416.20

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Solution

The fourth proportional to 277,741, 383,281.86 and 150,416.20 is: 207,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,741 : 383,281.86 = 150,416.20 : x
  2. Step 2: Convert to fraction form
    277,741/383,281.86 = 150,416.20/x
  3. Step 3: Cross multiply
    277,741x = 383,281.86 × 150,416.20
  4. Step 4: Simplify right side
    277,741x = 57,651,800,910.13
  5. Step 5: Solve for x
    x = 57,651,800,910.13/277,741
  6. Step 6: Final answer
    x = 207,573.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.