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Finding the Fourth Proportional to 523,625.25, 722,602.85 and 285,161.25

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Solution

The fourth proportional to 523,625.25, 722,602.85 and 285,161.25 is: 393,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,625.25 : 722,602.85 = 285,161.25 : x
  2. Step 2: Convert to fraction form
    523,625.25/722,602.85 = 285,161.25/x
  3. Step 3: Cross multiply
    523,625.25x = 722,602.85 × 285,161.25
  4. Step 4: Simplify right side
    523,625.25x = 206,058,330,533.76
  5. Step 5: Solve for x
    x = 206,058,330,533.76/523,625.25
  6. Step 6: Final answer
    x = 393,522.53

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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.