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Finding the Fourth Proportional to 596,930.96, 823,843.32 and 342,232.40

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Solution

The fourth proportional to 596,930.96, 823,843.32 and 342,232.40 is: 472,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,930.96 : 823,843.32 = 342,232.40 : x
  2. Step 2: Convert to fraction form
    596,930.96/823,843.32 = 342,232.40/x
  3. Step 3: Cross multiply
    596,930.96x = 823,843.32 × 342,232.40
  4. Step 4: Simplify right side
    596,930.96x = 281,945,876,627.57
  5. Step 5: Solve for x
    x = 281,945,876,627.57/596,930.96
  6. Step 6: Final answer
    x = 472,325.77

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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.