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Finding the Fourth Proportional to 514,116.50, 770,961.87 and 194,213.79

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Solution

The fourth proportional to 514,116.50, 770,961.87 and 194,213.79 is: 291,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,116.50 : 770,961.87 = 194,213.79 : x
  2. Step 2: Convert to fraction form
    514,116.50/770,961.87 = 194,213.79/x
  3. Step 3: Cross multiply
    514,116.50x = 770,961.87 × 194,213.79
  4. Step 4: Simplify right side
    514,116.50x = 149,731,426,718.19
  5. Step 5: Solve for x
    x = 149,731,426,718.19/514,116.50
  6. Step 6: Final answer
    x = 291,240.27

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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.