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Finding the Fourth Proportional to 307,925.56, 462,003.09 and 188,228.08

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Solution

The fourth proportional to 307,925.56, 462,003.09 and 188,228.08 is: 282,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,925.56 : 462,003.09 = 188,228.08 : x
  2. Step 2: Convert to fraction form
    307,925.56/462,003.09 = 188,228.08/x
  3. Step 3: Cross multiply
    307,925.56x = 462,003.09 × 188,228.08
  4. Step 4: Simplify right side
    307,925.56x = 86,961,954,584.77
  5. Step 5: Solve for x
    x = 86,961,954,584.77/307,925.56
  6. Step 6: Final answer
    x = 282,412.26

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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.