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Finding the Fourth Proportional to 384,245, 576,370.74 and 134,927

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Solution

The fourth proportional to 384,245, 576,370.74 and 134,927 is: 202,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,245 : 576,370.74 = 134,927 : x
  2. Step 2: Convert to fraction form
    384,245/576,370.74 = 134,927/x
  3. Step 3: Cross multiply
    384,245x = 576,370.74 × 134,927
  4. Step 4: Simplify right side
    384,245x = 77,767,974,835.98
  5. Step 5: Solve for x
    x = 77,767,974,835.98/384,245
  6. Step 6: Final answer
    x = 202,391.64

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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.