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Finding the Fourth Proportional to 277,998.42, 383,639.72 and 150,676.14

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Solution

The fourth proportional to 277,998.42, 383,639.72 and 150,676.14 is: 207,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,998.42 : 383,639.72 = 150,676.14 : x
  2. Step 2: Convert to fraction form
    277,998.42/383,639.72 = 150,676.14/x
  3. Step 3: Cross multiply
    277,998.42x = 383,639.72 × 150,676.14
  4. Step 4: Simplify right side
    277,998.42x = 57,805,351,406.90
  5. Step 5: Solve for x
    x = 57,805,351,406.90/277,998.42
  6. Step 6: Final answer
    x = 207,934.10

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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.