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Finding the Fourth Proportional to 467,364.54, 701,309.25 and 186,903.66

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Solution

The fourth proportional to 467,364.54, 701,309.25 and 186,903.66 is: 280,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,364.54 : 701,309.25 = 186,903.66 : x
  2. Step 2: Convert to fraction form
    467,364.54/701,309.25 = 186,903.66/x
  3. Step 3: Cross multiply
    467,364.54x = 701,309.25 × 186,903.66
  4. Step 4: Simplify right side
    467,364.54x = 131,077,265,616.86
  5. Step 5: Solve for x
    x = 131,077,265,616.86/467,364.54
  6. Step 6: Final answer
    x = 280,460.44

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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.