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Finding the Fourth Proportional to 297,232.74, 410,168.21 and 169,916.54

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Solution

The fourth proportional to 297,232.74, 410,168.21 and 169,916.54 is: 234,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,232.74 : 410,168.21 = 169,916.54 : x
  2. Step 2: Convert to fraction form
    297,232.74/410,168.21 = 169,916.54/x
  3. Step 3: Cross multiply
    297,232.74x = 410,168.21 × 169,916.54
  4. Step 4: Simplify right side
    297,232.74x = 69,694,360,160.77
  5. Step 5: Solve for x
    x = 69,694,360,160.77/297,232.74
  6. Step 6: Final answer
    x = 234,477.40

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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.