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Finding the Fourth Proportional to 617,083.25, 851,653.74 and 345,166.25

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Solution

The fourth proportional to 617,083.25, 851,653.74 and 345,166.25 is: 476,373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,083.25 : 851,653.74 = 345,166.25 : x
  2. Step 2: Convert to fraction form
    617,083.25/851,653.74 = 345,166.25/x
  3. Step 3: Cross multiply
    617,083.25x = 851,653.74 × 345,166.25
  4. Step 4: Simplify right side
    617,083.25x = 293,962,124,770.38
  5. Step 5: Solve for x
    x = 293,962,124,770.38/617,083.25
  6. Step 6: Final answer
    x = 476,373.53

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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.