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Finding the Fourth Proportional to 277,542, 383,007.24 and 150,217.56

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Solution

The fourth proportional to 277,542, 383,007.24 and 150,217.56 is: 207,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,542 : 383,007.24 = 150,217.56 : x
  2. Step 2: Convert to fraction form
    277,542/383,007.24 = 150,217.56/x
  3. Step 3: Cross multiply
    277,542x = 383,007.24 × 150,217.56
  4. Step 4: Simplify right side
    277,542x = 57,534,413,055.13
  5. Step 5: Solve for x
    x = 57,534,413,055.13/277,542
  6. Step 6: Final answer
    x = 207,299.84

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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.