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Finding the Fourth Proportional to 297,069.54, 409,950.36 and 168,005.76

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Solution

The fourth proportional to 297,069.54, 409,950.36 and 168,005.76 is: 231,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,069.54 : 409,950.36 = 168,005.76 : x
  2. Step 2: Convert to fraction form
    297,069.54/409,950.36 = 168,005.76/x
  3. Step 3: Cross multiply
    297,069.54x = 409,950.36 × 168,005.76
  4. Step 4: Simplify right side
    297,069.54x = 68,874,021,794.07
  5. Step 5: Solve for x
    x = 68,874,021,794.07/297,069.54
  6. Step 6: Final answer
    x = 231,844.78

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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.