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Finding the Fourth Proportional to 463,907.32, 694,679.44 and 305,656.12

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Solution

The fourth proportional to 463,907.32, 694,679.44 and 305,656.12 is: 457,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,907.32 : 694,679.44 = 305,656.12 : x
  2. Step 2: Convert to fraction form
    463,907.32/694,679.44 = 305,656.12/x
  3. Step 3: Cross multiply
    463,907.32x = 694,679.44 × 305,656.12
  4. Step 4: Simplify right side
    463,907.32x = 212,333,022,274.17
  5. Step 5: Solve for x
    x = 212,333,022,274.17/463,907.32
  6. Step 6: Final answer
    x = 457,705.69

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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.