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Finding the Fourth Proportional to 307,964.70, 462,009.45 and 174,908.70

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Solution

The fourth proportional to 307,964.70, 462,009.45 and 174,908.70 is: 262,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,964.70 : 462,009.45 = 174,908.70 : x
  2. Step 2: Convert to fraction form
    307,964.70/462,009.45 = 174,908.70/x
  3. Step 3: Cross multiply
    307,964.70x = 462,009.45 × 174,908.70
  4. Step 4: Simplify right side
    307,964.70x = 80,809,472,287.22
  5. Step 5: Solve for x
    x = 80,809,472,287.22/307,964.70
  6. Step 6: Final answer
    x = 262,398.49

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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.