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Finding the Fourth Proportional to 521,266.50, 719,342.91 and 294,912

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Solution

The fourth proportional to 521,266.50, 719,342.91 and 294,912 is: 406,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,266.50 : 719,342.91 = 294,912 : x
  2. Step 2: Convert to fraction form
    521,266.50/719,342.91 = 294,912/x
  3. Step 3: Cross multiply
    521,266.50x = 719,342.91 × 294,912
  4. Step 4: Simplify right side
    521,266.50x = 212,142,856,273.92
  5. Step 5: Solve for x
    x = 212,142,856,273.92/521,266.50
  6. Step 6: Final answer
    x = 406,975.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.