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Finding the Fourth Proportional to 610,867.26, 843,097.95 and 339,022.47

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Solution

The fourth proportional to 610,867.26, 843,097.95 and 339,022.47 is: 467,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,867.26 : 843,097.95 = 339,022.47 : x
  2. Step 2: Convert to fraction form
    610,867.26/843,097.95 = 339,022.47/x
  3. Step 3: Cross multiply
    610,867.26x = 843,097.95 × 339,022.47
  4. Step 4: Simplify right side
    610,867.26x = 285,829,149,460.94
  5. Step 5: Solve for x
    x = 285,829,149,460.94/610,867.26
  6. Step 6: Final answer
    x = 467,907.13

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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.