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Finding the Fourth Proportional to 432,696.96, 597,120.32 and 239,099.28

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Solution

The fourth proportional to 432,696.96, 597,120.32 and 239,099.28 is: 329,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,696.96 : 597,120.32 = 239,099.28 : x
  2. Step 2: Convert to fraction form
    432,696.96/597,120.32 = 239,099.28/x
  3. Step 3: Cross multiply
    432,696.96x = 597,120.32 × 239,099.28
  4. Step 4: Simplify right side
    432,696.96x = 142,771,039,183.12
  5. Step 5: Solve for x
    x = 142,771,039,183.12/432,696.96
  6. Step 6: Final answer
    x = 329,956.18

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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.