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Finding the Fourth Proportional to 273,824.66, 410,881.53 and 194,375.81

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Solution

The fourth proportional to 273,824.66, 410,881.53 and 194,375.81 is: 291,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,824.66 : 410,881.53 = 194,375.81 : x
  2. Step 2: Convert to fraction form
    273,824.66/410,881.53 = 194,375.81/x
  3. Step 3: Cross multiply
    273,824.66x = 410,881.53 × 194,375.81
  4. Step 4: Simplify right side
    273,824.66x = 79,865,430,207.79
  5. Step 5: Solve for x
    x = 79,865,430,207.79/273,824.66
  6. Step 6: Final answer
    x = 291,666.32

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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.