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Finding the Fourth Proportional to 277,801.78, 383,366.10 and 150,477.88

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Solution

The fourth proportional to 277,801.78, 383,366.10 and 150,477.88 is: 207,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,801.78 : 383,366.10 = 150,477.88 : x
  2. Step 2: Convert to fraction form
    277,801.78/383,366.10 = 150,477.88/x
  3. Step 3: Cross multiply
    277,801.78x = 383,366.10 × 150,477.88
  4. Step 4: Simplify right side
    277,801.78x = 57,688,117,991.87
  5. Step 5: Solve for x
    x = 57,688,117,991.87/277,801.78
  6. Step 6: Final answer
    x = 207,659.28

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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.