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Finding the Fourth Proportional to 610,858.26, 843,085.54 and 339,013.48

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Solution

The fourth proportional to 610,858.26, 843,085.54 and 339,013.48 is: 467,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,858.26 : 843,085.54 = 339,013.48 : x
  2. Step 2: Convert to fraction form
    610,858.26/843,085.54 = 339,013.48/x
  3. Step 3: Cross multiply
    610,858.26x = 843,085.54 × 339,013.48
  4. Step 4: Simplify right side
    610,858.26x = 285,817,359,425.26
  5. Step 5: Solve for x
    x = 285,817,359,425.26/610,858.26
  6. Step 6: Final answer
    x = 467,894.73

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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.