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Finding the Fourth Proportional to 277,847.82, 383,411.07 and 156,994.20

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Solution

The fourth proportional to 277,847.82, 383,411.07 and 156,994.20 is: 216,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,847.82 : 383,411.07 = 156,994.20 : x
  2. Step 2: Convert to fraction form
    277,847.82/383,411.07 = 156,994.20/x
  3. Step 3: Cross multiply
    277,847.82x = 383,411.07 × 156,994.20
  4. Step 4: Simplify right side
    277,847.82x = 60,193,314,205.79
  5. Step 5: Solve for x
    x = 60,193,314,205.79/277,847.82
  6. Step 6: Final answer
    x = 216,641.30

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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.