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Finding the Fourth Proportional to 510,261.96, 765,393 and 362,288.88

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Solution

The fourth proportional to 510,261.96, 765,393 and 362,288.88 is: 543,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,261.96 : 765,393 = 362,288.88 : x
  2. Step 2: Convert to fraction form
    510,261.96/765,393 = 362,288.88/x
  3. Step 3: Cross multiply
    510,261.96x = 765,393 × 362,288.88
  4. Step 4: Simplify right side
    510,261.96x = 277,293,372,729.84
  5. Step 5: Solve for x
    x = 277,293,372,729.84/510,261.96
  6. Step 6: Final answer
    x = 543,433.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.