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Finding the Fourth Proportional to 307,924.56, 462,001.59 and 188,227.08

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Solution

The fourth proportional to 307,924.56, 462,001.59 and 188,227.08 is: 282,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,924.56 : 462,001.59 = 188,227.08 : x
  2. Step 2: Convert to fraction form
    307,924.56/462,001.59 = 188,227.08/x
  3. Step 3: Cross multiply
    307,924.56x = 462,001.59 × 188,227.08
  4. Step 4: Simplify right side
    307,924.56x = 86,961,210,241.06
  5. Step 5: Solve for x
    x = 86,961,210,241.06/307,924.56
  6. Step 6: Final answer
    x = 282,410.76

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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.