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Finding the Fourth Proportional to 277,697.84, 383,224.84 and 150,373.44

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Solution

The fourth proportional to 277,697.84, 383,224.84 and 150,373.44 is: 207,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,697.84 : 383,224.84 = 150,373.44 : x
  2. Step 2: Convert to fraction form
    277,697.84/383,224.84 = 150,373.44/x
  3. Step 3: Cross multiply
    277,697.84x = 383,224.84 × 150,373.44
  4. Step 4: Simplify right side
    277,697.84x = 57,626,837,108.32
  5. Step 5: Solve for x
    x = 57,626,837,108.32/277,697.84
  6. Step 6: Final answer
    x = 207,516.34

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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.