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Finding the Fourth Proportional to 297,682.05, 410,799.59 and 161,714.91

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Solution

The fourth proportional to 297,682.05, 410,799.59 and 161,714.91 is: 223,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,682.05 : 410,799.59 = 161,714.91 : x
  2. Step 2: Convert to fraction form
    297,682.05/410,799.59 = 161,714.91/x
  3. Step 3: Cross multiply
    297,682.05x = 410,799.59 × 161,714.91
  4. Step 4: Simplify right side
    297,682.05x = 66,432,417,916.31
  5. Step 5: Solve for x
    x = 66,432,417,916.31/297,682.05
  6. Step 6: Final answer
    x = 223,165.68

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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.