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Finding the Fourth Proportional to 467,103.52, 644,469.54 and 263,083.16

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Solution

The fourth proportional to 467,103.52, 644,469.54 and 263,083.16 is: 362,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,103.52 : 644,469.54 = 263,083.16 : x
  2. Step 2: Convert to fraction form
    467,103.52/644,469.54 = 263,083.16/x
  3. Step 3: Cross multiply
    467,103.52x = 644,469.54 × 263,083.16
  4. Step 4: Simplify right side
    467,103.52x = 169,549,083,106.95
  5. Step 5: Solve for x
    x = 169,549,083,106.95/467,103.52
  6. Step 6: Final answer
    x = 362,979.67

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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.