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Finding the Fourth Proportional to 312,321.51, 468,569.75 and 125,464.23

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Solution

The fourth proportional to 312,321.51, 468,569.75 and 125,464.23 is: 188,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,321.51 : 468,569.75 = 125,464.23 : x
  2. Step 2: Convert to fraction form
    312,321.51/468,569.75 = 125,464.23/x
  3. Step 3: Cross multiply
    312,321.51x = 468,569.75 × 125,464.23
  4. Step 4: Simplify right side
    312,321.51x = 58,788,742,257.72
  5. Step 5: Solve for x
    x = 58,788,742,257.72/312,321.51
  6. Step 6: Final answer
    x = 188,231.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.