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Finding the Fourth Proportional to 384,234, 576,354.24 and 134,916

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Solution

The fourth proportional to 384,234, 576,354.24 and 134,916 is: 202,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,234 : 576,354.24 = 134,916 : x
  2. Step 2: Convert to fraction form
    384,234/576,354.24 = 134,916/x
  3. Step 3: Cross multiply
    384,234x = 576,354.24 × 134,916
  4. Step 4: Simplify right side
    384,234x = 77,759,408,643.84
  5. Step 5: Solve for x
    x = 77,759,408,643.84/384,234
  6. Step 6: Final answer
    x = 202,375.14

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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.