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Finding the Fourth Proportional to 277,398.56, 382,812.80 and 150,076.89

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Solution

The fourth proportional to 277,398.56, 382,812.80 and 150,076.89 is: 207,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,398.56 : 382,812.80 = 150,076.89 : x
  2. Step 2: Convert to fraction form
    277,398.56/382,812.80 = 150,076.89/x
  3. Step 3: Cross multiply
    277,398.56x = 382,812.80 × 150,076.89
  4. Step 4: Simplify right side
    277,398.56x = 57,451,353,725.81
  5. Step 5: Solve for x
    x = 57,451,353,725.81/277,398.56
  6. Step 6: Final answer
    x = 207,107.61

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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.