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Finding the Fourth Proportional to 384,241, 576,364.74 and 134,923

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Solution

The fourth proportional to 384,241, 576,364.74 and 134,923 is: 202,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,241 : 576,364.74 = 134,923 : x
  2. Step 2: Convert to fraction form
    384,241/576,364.74 = 134,923/x
  3. Step 3: Cross multiply
    384,241x = 576,364.74 × 134,923
  4. Step 4: Simplify right side
    384,241x = 77,764,859,815.02
  5. Step 5: Solve for x
    x = 77,764,859,815.02/384,241
  6. Step 6: Final answer
    x = 202,385.64

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Why These Related Problems?

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