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Finding the Fourth Proportional to 297,994.25, 411,232.07 and 163,858.25

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Solution

The fourth proportional to 297,994.25, 411,232.07 and 163,858.25 is: 226,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,994.25 : 411,232.07 = 163,858.25 : x
  2. Step 2: Convert to fraction form
    297,994.25/411,232.07 = 163,858.25/x
  3. Step 3: Cross multiply
    297,994.25x = 411,232.07 × 163,858.25
  4. Step 4: Simplify right side
    297,994.25x = 67,383,767,334.08
  5. Step 5: Solve for x
    x = 67,383,767,334.08/297,994.25
  6. Step 6: Final answer
    x = 226,124.39

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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.