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Finding the Fourth Proportional to 514,116, 770,961.12 and 194,213.29

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Solution

The fourth proportional to 514,116, 770,961.12 and 194,213.29 is: 291,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,116 : 770,961.12 = 194,213.29 : x
  2. Step 2: Convert to fraction form
    514,116/770,961.12 = 194,213.29/x
  3. Step 3: Cross multiply
    514,116x = 770,961.12 × 194,213.29
  4. Step 4: Simplify right side
    514,116x = 149,730,895,577.29
  5. Step 5: Solve for x
    x = 149,730,895,577.29/514,116
  6. Step 6: Final answer
    x = 291,239.52

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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.