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Finding the Fourth Proportional to 277,745.66, 383,288.65 and 150,421.76

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Solution

The fourth proportional to 277,745.66, 383,288.65 and 150,421.76 is: 207,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,745.66 : 383,288.65 = 150,421.76 : x
  2. Step 2: Convert to fraction form
    277,745.66/383,288.65 = 150,421.76/x
  3. Step 3: Cross multiply
    277,745.66x = 383,288.65 × 150,421.76
  4. Step 4: Simplify right side
    277,745.66x = 57,654,953,321.02
  5. Step 5: Solve for x
    x = 57,654,953,321.02/277,745.66
  6. Step 6: Final answer
    x = 207,581.83

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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.