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Finding the Fourth Proportional to 303,193.32, 418,410 and 167,233.20

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Solution

The fourth proportional to 303,193.32, 418,410 and 167,233.20 is: 230,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,193.32 : 418,410 = 167,233.20 : x
  2. Step 2: Convert to fraction form
    303,193.32/418,410 = 167,233.20/x
  3. Step 3: Cross multiply
    303,193.32x = 418,410 × 167,233.20
  4. Step 4: Simplify right side
    303,193.32x = 69,972,043,212
  5. Step 5: Solve for x
    x = 69,972,043,212/303,193.32
  6. Step 6: Final answer
    x = 230,783.59

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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.