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Finding the Fourth Proportional to 414,440.64, 621,736.12 and 171,282.12

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Solution

The fourth proportional to 414,440.64, 621,736.12 and 171,282.12 is: 256,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,440.64 : 621,736.12 = 171,282.12 : x
  2. Step 2: Convert to fraction form
    414,440.64/621,736.12 = 171,282.12/x
  3. Step 3: Cross multiply
    414,440.64x = 621,736.12 × 171,282.12
  4. Step 4: Simplify right side
    414,440.64x = 106,492,280,714.17
  5. Step 5: Solve for x
    x = 106,492,280,714.17/414,440.64
  6. Step 6: Final answer
    x = 256,954.24

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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.