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Finding the Fourth Proportional to 463,816.16, 694,724.40 and 313,228.44

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Solution

The fourth proportional to 463,816.16, 694,724.40 and 313,228.44 is: 469,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,816.16 : 694,724.40 = 313,228.44 : x
  2. Step 2: Convert to fraction form
    463,816.16/694,724.40 = 313,228.44/x
  3. Step 3: Cross multiply
    463,816.16x = 694,724.40 × 313,228.44
  4. Step 4: Simplify right side
    463,816.16x = 217,607,440,041.94
  5. Step 5: Solve for x
    x = 217,607,440,041.94/463,816.16
  6. Step 6: Final answer
    x = 469,167.44

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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.