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Finding the Fourth Proportional to 277,604.85, 383,095.89 and 150,280.44

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Solution

The fourth proportional to 277,604.85, 383,095.89 and 150,280.44 is: 207,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,604.85 : 383,095.89 = 150,280.44 : x
  2. Step 2: Convert to fraction form
    277,604.85/383,095.89 = 150,280.44/x
  3. Step 3: Cross multiply
    277,604.85x = 383,095.89 × 150,280.44
  4. Step 4: Simplify right side
    277,604.85x = 57,571,818,911.39
  5. Step 5: Solve for x
    x = 57,571,818,911.39/277,604.85
  6. Step 6: Final answer
    x = 207,387.66

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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.