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Finding the Fourth Proportional to 284,182.44, 392,146.88 and 182,027.64

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Solution

The fourth proportional to 284,182.44, 392,146.88 and 182,027.64 is: 251,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,182.44 : 392,146.88 = 182,027.64 : x
  2. Step 2: Convert to fraction form
    284,182.44/392,146.88 = 182,027.64/x
  3. Step 3: Cross multiply
    284,182.44x = 392,146.88 × 182,027.64
  4. Step 4: Simplify right side
    284,182.44x = 71,381,571,099.76
  5. Step 5: Solve for x
    x = 71,381,571,099.76/284,182.44
  6. Step 6: Final answer
    x = 251,182.20

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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.