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Finding the Fourth Proportional to 457,029.40, 685,684.14 and 204,522.40

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Solution

The fourth proportional to 457,029.40, 685,684.14 and 204,522.40 is: 306,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,029.40 : 685,684.14 = 204,522.40 : x
  2. Step 2: Convert to fraction form
    457,029.40/685,684.14 = 204,522.40/x
  3. Step 3: Cross multiply
    457,029.40x = 685,684.14 × 204,522.40
  4. Step 4: Simplify right side
    457,029.40x = 140,237,765,954.74
  5. Step 5: Solve for x
    x = 140,237,765,954.74/457,029.40
  6. Step 6: Final answer
    x = 306,846.27

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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.