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Finding the Fourth Proportional to 297,025.29, 409,869.59 and 169,676.01

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Solution

The fourth proportional to 297,025.29, 409,869.59 and 169,676.01 is: 234,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,025.29 : 409,869.59 = 169,676.01 : x
  2. Step 2: Convert to fraction form
    297,025.29/409,869.59 = 169,676.01/x
  3. Step 3: Cross multiply
    297,025.29x = 409,869.59 × 169,676.01
  4. Step 4: Simplify right side
    297,025.29x = 69,545,035,803.16
  5. Step 5: Solve for x
    x = 69,545,035,803.16/297,025.29
  6. Step 6: Final answer
    x = 234,138.43

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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.