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Finding the Fourth Proportional to 463,908.32, 694,680.94 and 305,657.12

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Solution

The fourth proportional to 463,908.32, 694,680.94 and 305,657.12 is: 457,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,908.32 : 694,680.94 = 305,657.12 : x
  2. Step 2: Convert to fraction form
    463,908.32/694,680.94 = 305,657.12/x
  3. Step 3: Cross multiply
    463,908.32x = 694,680.94 × 305,657.12
  4. Step 4: Simplify right side
    463,908.32x = 212,334,175,439.29
  5. Step 5: Solve for x
    x = 212,334,175,439.29/463,908.32
  6. Step 6: Final answer
    x = 457,707.19

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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.