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Finding the Fourth Proportional to 277,744.40, 414,177.70 and 275,218.40

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Solution

The fourth proportional to 277,744.40, 414,177.70 and 275,218.40 is: 410,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,744.40 : 414,177.70 = 275,218.40 : x
  2. Step 2: Convert to fraction form
    277,744.40/414,177.70 = 275,218.40/x
  3. Step 3: Cross multiply
    277,744.40x = 414,177.70 × 275,218.40
  4. Step 4: Simplify right side
    277,744.40x = 113,989,323,909.68
  5. Step 5: Solve for x
    x = 113,989,323,909.68/277,744.40
  6. Step 6: Final answer
    x = 410,410.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.