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Finding the Fourth Proportional to 503,022.33, 693,819.32 and 341,597.16

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Solution

The fourth proportional to 503,022.33, 693,819.32 and 341,597.16 is: 471,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,022.33 : 693,819.32 = 341,597.16 : x
  2. Step 2: Convert to fraction form
    503,022.33/693,819.32 = 341,597.16/x
  3. Step 3: Cross multiply
    503,022.33x = 693,819.32 × 341,597.16
  4. Step 4: Simplify right side
    503,022.33x = 237,006,707,557.15
  5. Step 5: Solve for x
    x = 237,006,707,557.15/503,022.33
  6. Step 6: Final answer
    x = 471,165.38

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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.