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Finding the Fourth Proportional to 384,244, 576,369.24 and 134,926

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Solution

The fourth proportional to 384,244, 576,369.24 and 134,926 is: 202,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,244 : 576,369.24 = 134,926 : x
  2. Step 2: Convert to fraction form
    384,244/576,369.24 = 134,926/x
  3. Step 3: Cross multiply
    384,244x = 576,369.24 × 134,926
  4. Step 4: Simplify right side
    384,244x = 77,767,196,076.24
  5. Step 5: Solve for x
    x = 77,767,196,076.24/384,244
  6. Step 6: Final answer
    x = 202,390.14

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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.