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Finding the Fourth Proportional to 304,418.64, 420,086.88 and 168,450.24

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Solution

The fourth proportional to 304,418.64, 420,086.88 and 168,450.24 is: 232,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,418.64 : 420,086.88 = 168,450.24 : x
  2. Step 2: Convert to fraction form
    304,418.64/420,086.88 = 168,450.24/x
  3. Step 3: Cross multiply
    304,418.64x = 420,086.88 × 168,450.24
  4. Step 4: Simplify right side
    304,418.64x = 70,763,735,756.85
  5. Step 5: Solve for x
    x = 70,763,735,756.85/304,418.64
  6. Step 6: Final answer
    x = 232,455.33

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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.