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Finding the Fourth Proportional to 369,524.44, 510,082.38 and 242,208.23

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Solution

The fourth proportional to 369,524.44, 510,082.38 and 242,208.23 is: 334,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,524.44 : 510,082.38 = 242,208.23 : x
  2. Step 2: Convert to fraction form
    369,524.44/510,082.38 = 242,208.23/x
  3. Step 3: Cross multiply
    369,524.44x = 510,082.38 × 242,208.23
  4. Step 4: Simplify right side
    369,524.44x = 123,546,150,413.99
  5. Step 5: Solve for x
    x = 123,546,150,413.99/369,524.44
  6. Step 6: Final answer
    x = 334,338.24

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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.