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Finding the Fourth Proportional to 277,468.64, 382,907.74 and 150,144.24

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Solution

The fourth proportional to 277,468.64, 382,907.74 and 150,144.24 is: 207,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,468.64 : 382,907.74 = 150,144.24 : x
  2. Step 2: Convert to fraction form
    277,468.64/382,907.74 = 150,144.24/x
  3. Step 3: Cross multiply
    277,468.64x = 382,907.74 × 150,144.24
  4. Step 4: Simplify right side
    277,468.64x = 57,491,391,612.42
  5. Step 5: Solve for x
    x = 57,491,391,612.42/277,468.64
  6. Step 6: Final answer
    x = 207,199.60

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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.