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Finding the Fourth Proportional to 471,224, 650,422.82 and 277,744.16

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Solution

The fourth proportional to 471,224, 650,422.82 and 277,744.16 is: 383,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,224 : 650,422.82 = 277,744.16 : x
  2. Step 2: Convert to fraction form
    471,224/650,422.82 = 277,744.16/x
  3. Step 3: Cross multiply
    471,224x = 650,422.82 × 277,744.16
  4. Step 4: Simplify right side
    471,224x = 180,651,139,785.73
  5. Step 5: Solve for x
    x = 180,651,139,785.73/471,224
  6. Step 6: Final answer
    x = 383,365.74

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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.