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Finding the Fourth Proportional to 392,364.50, 541,627.54 and 265,212.32

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Solution

The fourth proportional to 392,364.50, 541,627.54 and 265,212.32 is: 366,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,364.50 : 541,627.54 = 265,212.32 : x
  2. Step 2: Convert to fraction form
    392,364.50/541,627.54 = 265,212.32/x
  3. Step 3: Cross multiply
    392,364.50x = 541,627.54 × 265,212.32
  4. Step 4: Simplify right side
    392,364.50x = 143,646,296,459.29
  5. Step 5: Solve for x
    x = 143,646,296,459.29/392,364.50
  6. Step 6: Final answer
    x = 366,104.21

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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.