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Finding the Fourth Proportional to 277,561.16, 416,507.78 and 254,974.91

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Solution

The fourth proportional to 277,561.16, 416,507.78 and 254,974.91 is: 382,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,561.16 : 416,507.78 = 254,974.91 : x
  2. Step 2: Convert to fraction form
    277,561.16/416,507.78 = 254,974.91/x
  3. Step 3: Cross multiply
    277,561.16x = 416,507.78 × 254,974.91
  4. Step 4: Simplify right side
    277,561.16x = 106,199,035,398.51
  5. Step 5: Solve for x
    x = 106,199,035,398.51/277,561.16
  6. Step 6: Final answer
    x = 382,614.91

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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.