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Finding the Fourth Proportional to 467,033.63, 644,468.13 and 263,019.33

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Solution

The fourth proportional to 467,033.63, 644,468.13 and 263,019.33 is: 362,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,033.63 : 644,468.13 = 263,019.33 : x
  2. Step 2: Convert to fraction form
    467,033.63/644,468.13 = 263,019.33/x
  3. Step 3: Cross multiply
    467,033.63x = 644,468.13 × 263,019.33
  4. Step 4: Simplify right side
    467,033.63x = 169,507,575,758.95
  5. Step 5: Solve for x
    x = 169,507,575,758.95/467,033.63
  6. Step 6: Final answer
    x = 362,945.12

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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.