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Finding the Fourth Proportional to 330,984, 456,759.36 and 180,080.64

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Solution

The fourth proportional to 330,984, 456,759.36 and 180,080.64 is: 248,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,984 : 456,759.36 = 180,080.64 : x
  2. Step 2: Convert to fraction form
    330,984/456,759.36 = 180,080.64/x
  3. Step 3: Cross multiply
    330,984x = 456,759.36 × 180,080.64
  4. Step 4: Simplify right side
    330,984x = 82,253,517,874.79
  5. Step 5: Solve for x
    x = 82,253,517,874.79/330,984
  6. Step 6: Final answer
    x = 248,512.07

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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.