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Finding the Fourth Proportional to 277,745.69, 383,289.53 and 150,421.28

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Solution

The fourth proportional to 277,745.69, 383,289.53 and 150,421.28 is: 207,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,745.69 : 383,289.53 = 150,421.28 : x
  2. Step 2: Convert to fraction form
    277,745.69/383,289.53 = 150,421.28/x
  3. Step 3: Cross multiply
    277,745.69x = 383,289.53 × 150,421.28
  4. Step 4: Simplify right side
    277,745.69x = 57,654,901,713.20
  5. Step 5: Solve for x
    x = 57,654,901,713.20/277,745.69
  6. Step 6: Final answer
    x = 207,581.63

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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.