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Finding the Fourth Proportional to 277,906.88, 383,643.72 and 186,184.10

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Solution

The fourth proportional to 277,906.88, 383,643.72 and 186,184.10 is: 257,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,906.88 : 383,643.72 = 186,184.10 : x
  2. Step 2: Convert to fraction form
    277,906.88/383,643.72 = 186,184.10/x
  3. Step 3: Cross multiply
    277,906.88x = 383,643.72 × 186,184.10
  4. Step 4: Simplify right side
    277,906.88x = 71,428,360,728.85
  5. Step 5: Solve for x
    x = 71,428,360,728.85/277,906.88
  6. Step 6: Final answer
    x = 257,022.64

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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.