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Finding the Fourth Proportional to 277,690.12, 416,449.06 and 100,174.08

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Solution

The fourth proportional to 277,690.12, 416,449.06 and 100,174.08 is: 150,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,690.12 : 416,449.06 = 100,174.08 : x
  2. Step 2: Convert to fraction form
    277,690.12/416,449.06 = 100,174.08/x
  3. Step 3: Cross multiply
    277,690.12x = 416,449.06 × 100,174.08
  4. Step 4: Simplify right side
    277,690.12x = 41,717,401,452.36
  5. Step 5: Solve for x
    x = 41,717,401,452.36/277,690.12
  6. Step 6: Final answer
    x = 150,230.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.