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Finding the Fourth Proportional to 297,682.10, 410,804.15 and 161,717.07

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Solution

The fourth proportional to 297,682.10, 410,804.15 and 161,717.07 is: 223,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,682.10 : 410,804.15 = 161,717.07 : x
  2. Step 2: Convert to fraction form
    297,682.10/410,804.15 = 161,717.07/x
  3. Step 3: Cross multiply
    297,682.10x = 410,804.15 × 161,717.07
  4. Step 4: Simplify right side
    297,682.10x = 66,434,044,213.77
  5. Step 5: Solve for x
    x = 66,434,044,213.77/297,682.10
  6. Step 6: Final answer
    x = 223,171.11

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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.