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Finding the Fourth Proportional to 463,905.25, 694,676.59 and 305,653.93

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Solution

The fourth proportional to 463,905.25, 694,676.59 and 305,653.93 is: 457,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,905.25 : 694,676.59 = 305,653.93 : x
  2. Step 2: Convert to fraction form
    463,905.25/694,676.59 = 305,653.93/x
  3. Step 3: Cross multiply
    463,905.25x = 694,676.59 × 305,653.93
  4. Step 4: Simplify right side
    463,905.25x = 212,330,627,311.67
  5. Step 5: Solve for x
    x = 212,330,627,311.67/463,905.25
  6. Step 6: Final answer
    x = 457,702.58

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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.