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Finding the Fourth Proportional to 277,625, 383,124.48 and 150,300.92

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Solution

The fourth proportional to 277,625, 383,124.48 and 150,300.92 is: 207,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,625 : 383,124.48 = 150,300.92 : x
  2. Step 2: Convert to fraction form
    277,625/383,124.48 = 150,300.92/x
  3. Step 3: Cross multiply
    277,625x = 383,124.48 × 150,300.92
  4. Step 4: Simplify right side
    277,625x = 57,583,961,818.52
  5. Step 5: Solve for x
    x = 57,583,961,818.52/277,625
  6. Step 6: Final answer
    x = 207,416.34

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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.