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Finding the Fourth Proportional to 277,893.75, 383,493.62 and 150,569.34

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Solution

The fourth proportional to 277,893.75, 383,493.62 and 150,569.34 is: 207,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,893.75 : 383,493.62 = 150,569.34 : x
  2. Step 2: Convert to fraction form
    277,893.75/383,493.62 = 150,569.34/x
  3. Step 3: Cross multiply
    277,893.75x = 383,493.62 × 150,569.34
  4. Step 4: Simplify right side
    277,893.75x = 57,742,380,298.88
  5. Step 5: Solve for x
    x = 57,742,380,298.88/277,893.75
  6. Step 6: Final answer
    x = 207,785.82

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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.