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Finding the Fourth Proportional to 510,719.22, 704,685.27 and 295,846.38

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Solution

The fourth proportional to 510,719.22, 704,685.27 and 295,846.38 is: 408,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,719.22 : 704,685.27 = 295,846.38 : x
  2. Step 2: Convert to fraction form
    510,719.22/704,685.27 = 295,846.38/x
  3. Step 3: Cross multiply
    510,719.22x = 704,685.27 × 295,846.38
  4. Step 4: Simplify right side
    510,719.22x = 208,478,586,168.82
  5. Step 5: Solve for x
    x = 208,478,586,168.82/510,719.22
  6. Step 6: Final answer
    x = 408,205.88

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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.