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Finding the Fourth Proportional to 277,861, 383,448.34 and 150,537.48

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Solution

The fourth proportional to 277,861, 383,448.34 and 150,537.48 is: 207,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,861 : 383,448.34 = 150,537.48 : x
  2. Step 2: Convert to fraction form
    277,861/383,448.34 = 150,537.48/x
  3. Step 3: Cross multiply
    277,861x = 383,448.34 × 150,537.48
  4. Step 4: Simplify right side
    277,861x = 57,723,346,813.78
  5. Step 5: Solve for x
    x = 57,723,346,813.78/277,861
  6. Step 6: Final answer
    x = 207,741.81

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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.