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Finding the Fourth Proportional to 508,930.70, 702,410.74 and 294,195.24

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Solution

The fourth proportional to 508,930.70, 702,410.74 and 294,195.24 is: 406,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,930.70 : 702,410.74 = 294,195.24 : x
  2. Step 2: Convert to fraction form
    508,930.70/702,410.74 = 294,195.24/x
  3. Step 3: Cross multiply
    508,930.70x = 702,410.74 × 294,195.24
  4. Step 4: Simplify right side
    508,930.70x = 206,645,895,497.39
  5. Step 5: Solve for x
    x = 206,645,895,497.39/508,930.70
  6. Step 6: Final answer
    x = 406,039.36

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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.