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Finding the Fourth Proportional to 307,852.62, 462,007.49 and 233,066.94

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Solution

The fourth proportional to 307,852.62, 462,007.49 and 233,066.94 is: 349,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,852.62 : 462,007.49 = 233,066.94 : x
  2. Step 2: Convert to fraction form
    307,852.62/462,007.49 = 233,066.94/x
  3. Step 3: Cross multiply
    307,852.62x = 462,007.49 × 233,066.94
  4. Step 4: Simplify right side
    307,852.62x = 107,678,670,786.05
  5. Step 5: Solve for x
    x = 107,678,670,786.05/307,852.62
  6. Step 6: Final answer
    x = 349,773.44

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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.