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Finding the Fourth Proportional to 467,121, 644,627.76 and 265,917

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Solution

The fourth proportional to 467,121, 644,627.76 and 265,917 is: 366,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,121 : 644,627.76 = 265,917 : x
  2. Step 2: Convert to fraction form
    467,121/644,627.76 = 265,917/x
  3. Step 3: Cross multiply
    467,121x = 644,627.76 × 265,917
  4. Step 4: Simplify right side
    467,121x = 171,417,480,055.92
  5. Step 5: Solve for x
    x = 171,417,480,055.92/467,121
  6. Step 6: Final answer
    x = 366,965.90

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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.