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Finding the Fourth Proportional to 277,832.86, 383,409.53 and 150,508.96

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Solution

The fourth proportional to 277,832.86, 383,409.53 and 150,508.96 is: 207,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,832.86 : 383,409.53 = 150,508.96 : x
  2. Step 2: Convert to fraction form
    277,832.86/383,409.53 = 150,508.96/x
  3. Step 3: Cross multiply
    277,832.86x = 383,409.53 × 150,508.96
  4. Step 4: Simplify right side
    277,832.86x = 57,706,569,614.39
  5. Step 5: Solve for x
    x = 57,706,569,614.39/277,832.86
  6. Step 6: Final answer
    x = 207,702.46

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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.