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Finding the Fourth Proportional to 467,029, 644,500.74 and 265,825

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Solution

The fourth proportional to 467,029, 644,500.74 and 265,825 is: 366,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,029 : 644,500.74 = 265,825 : x
  2. Step 2: Convert to fraction form
    467,029/644,500.74 = 265,825/x
  3. Step 3: Cross multiply
    467,029x = 644,500.74 × 265,825
  4. Step 4: Simplify right side
    467,029x = 171,324,409,210.50
  5. Step 5: Solve for x
    x = 171,324,409,210.50/467,029
  6. Step 6: Final answer
    x = 366,838.91

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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.