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Finding the Fourth Proportional to 463,469.40, 694,815.30 and 241,853.40

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Solution

The fourth proportional to 463,469.40, 694,815.30 and 241,853.40 is: 362,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,469.40 : 694,815.30 = 241,853.40 : x
  2. Step 2: Convert to fraction form
    463,469.40/694,815.30 = 241,853.40/x
  3. Step 3: Cross multiply
    463,469.40x = 694,815.30 × 241,853.40
  4. Step 4: Simplify right side
    463,469.40x = 168,043,442,677.02
  5. Step 5: Solve for x
    x = 168,043,442,677.02/463,469.40
  6. Step 6: Final answer
    x = 362,577.21

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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.