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Finding the Fourth Proportional to 533,293.44, 800,274.24 and 284,138.88

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Solution

The fourth proportional to 533,293.44, 800,274.24 and 284,138.88 is: 426,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,293.44 : 800,274.24 = 284,138.88 : x
  2. Step 2: Convert to fraction form
    533,293.44/800,274.24 = 284,138.88/x
  3. Step 3: Cross multiply
    533,293.44x = 800,274.24 × 284,138.88
  4. Step 4: Simplify right side
    533,293.44x = 227,389,026,246.45
  5. Step 5: Solve for x
    x = 227,389,026,246.45/533,293.44
  6. Step 6: Final answer
    x = 426,386.32

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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.