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Finding the Fourth Proportional to 277,873.38, 383,465.66 and 150,548.98

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Solution

The fourth proportional to 277,873.38, 383,465.66 and 150,548.98 is: 207,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,873.38 : 383,465.66 = 150,548.98 : x
  2. Step 2: Convert to fraction form
    277,873.38/383,465.66 = 150,548.98/x
  3. Step 3: Cross multiply
    277,873.38x = 383,465.66 × 150,548.98
  4. Step 4: Simplify right side
    277,873.38x = 57,730,363,978.03
  5. Step 5: Solve for x
    x = 57,730,363,978.03/277,873.38
  6. Step 6: Final answer
    x = 207,757.81

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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.