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Finding the Fourth Proportional to 194,616, 291,924 and 46,872

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Solution

The fourth proportional to 194,616, 291,924 and 46,872 is: 70,308

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,616 : 291,924 = 46,872 : x
  2. Step 2: Convert to fraction form
    194,616/291,924 = 46,872/x
  3. Step 3: Cross multiply
    194,616x = 291,924 × 46,872
  4. Step 4: Simplify right side
    194,616x = 13,683,061,728
  5. Step 5: Solve for x
    x = 13,683,061,728/194,616
  6. Step 6: Final answer
    x = 70,308

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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.