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Finding the Fourth Proportional to 457,201.23, 685,933.07 and 299,234.22

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Solution

The fourth proportional to 457,201.23, 685,933.07 and 299,234.22 is: 448,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,201.23 : 685,933.07 = 299,234.22 : x
  2. Step 2: Convert to fraction form
    457,201.23/685,933.07 = 299,234.22/x
  3. Step 3: Cross multiply
    457,201.23x = 685,933.07 × 299,234.22
  4. Step 4: Simplify right side
    457,201.23x = 205,254,645,677.48
  5. Step 5: Solve for x
    x = 205,254,645,677.48/457,201.23
  6. Step 6: Final answer
    x = 448,937.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.