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Finding the Fourth Proportional to 277,892.20, 383,491.50 and 150,567.80

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Solution

The fourth proportional to 277,892.20, 383,491.50 and 150,567.80 is: 207,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,892.20 : 383,491.50 = 150,567.80 : x
  2. Step 2: Convert to fraction form
    277,892.20/383,491.50 = 150,567.80/x
  3. Step 3: Cross multiply
    277,892.20x = 383,491.50 × 150,567.80
  4. Step 4: Simplify right side
    277,892.20x = 57,741,468,991.61
  5. Step 5: Solve for x
    x = 57,741,468,991.61/277,892.20
  6. Step 6: Final answer
    x = 207,783.70

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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.