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Finding the Fourth Proportional to 533,412.32, 800,198.06 and 196,427.07

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Solution

The fourth proportional to 533,412.32, 800,198.06 and 196,427.07 is: 294,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,412.32 : 800,198.06 = 196,427.07 : x
  2. Step 2: Convert to fraction form
    533,412.32/800,198.06 = 196,427.07/x
  3. Step 3: Cross multiply
    533,412.32x = 800,198.06 × 196,427.07
  4. Step 4: Simplify right side
    533,412.32x = 157,180,559,363.35
  5. Step 5: Solve for x
    x = 157,180,559,363.35/533,412.32
  6. Step 6: Final answer
    x = 294,669.91

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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.