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Finding the Fourth Proportional to 389,342, 536,805.15 and 324,904.07

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Solution

The fourth proportional to 389,342, 536,805.15 and 324,904.07 is: 447,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,342 : 536,805.15 = 324,904.07 : x
  2. Step 2: Convert to fraction form
    389,342/536,805.15 = 324,904.07/x
  3. Step 3: Cross multiply
    389,342x = 536,805.15 × 324,904.07
  4. Step 4: Simplify right side
    389,342x = 174,410,178,031.96
  5. Step 5: Solve for x
    x = 174,410,178,031.96/389,342
  6. Step 6: Final answer
    x = 447,961.38

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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.