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Finding the Fourth Proportional to 277,537, 383,000.34 and 150,212.56

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Solution

The fourth proportional to 277,537, 383,000.34 and 150,212.56 is: 207,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,537 : 383,000.34 = 150,212.56 : x
  2. Step 2: Convert to fraction form
    277,537/383,000.34 = 150,212.56/x
  3. Step 3: Cross multiply
    277,537x = 383,000.34 × 150,212.56
  4. Step 4: Simplify right side
    277,537x = 57,531,461,552.27
  5. Step 5: Solve for x
    x = 57,531,461,552.27/277,537
  6. Step 6: Final answer
    x = 207,292.94

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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.