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Finding the Fourth Proportional to 277,967.12, 383,593 and 150,642.64

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Solution

The fourth proportional to 277,967.12, 383,593 and 150,642.64 is: 207,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,967.12 : 383,593 = 150,642.64 : x
  2. Step 2: Convert to fraction form
    277,967.12/383,593 = 150,642.64/x
  3. Step 3: Cross multiply
    277,967.12x = 383,593 × 150,642.64
  4. Step 4: Simplify right side
    277,967.12x = 57,785,462,205.52
  5. Step 5: Solve for x
    x = 57,785,462,205.52/277,967.12
  6. Step 6: Final answer
    x = 207,885.96

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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.