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Finding the Fourth Proportional to 277,844.88, 417,275.76 and 254,422.08

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Solution

The fourth proportional to 277,844.88, 417,275.76 and 254,422.08 is: 382,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,844.88 : 417,275.76 = 254,422.08 : x
  2. Step 2: Convert to fraction form
    277,844.88/417,275.76 = 254,422.08/x
  3. Step 3: Cross multiply
    277,844.88x = 417,275.76 × 254,422.08
  4. Step 4: Simplify right side
    277,844.88x = 106,164,166,792.78
  5. Step 5: Solve for x
    x = 106,164,166,792.78/277,844.88
  6. Step 6: Final answer
    x = 382,098.70

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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.