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Finding the Fourth Proportional to 467,541.63, 644,908.27 and 324,249.39

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Solution

The fourth proportional to 467,541.63, 644,908.27 and 324,249.39 is: 447,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,541.63 : 644,908.27 = 324,249.39 : x
  2. Step 2: Convert to fraction form
    467,541.63/644,908.27 = 324,249.39/x
  3. Step 3: Cross multiply
    467,541.63x = 644,908.27 × 324,249.39
  4. Step 4: Simplify right side
    467,541.63x = 209,111,113,153.46
  5. Step 5: Solve for x
    x = 209,111,113,153.46/467,541.63
  6. Step 6: Final answer
    x = 447,256.67

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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.