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Finding the Fourth Proportional to 407,268.51, 610,657.25 and 182,588.31

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Solution

The fourth proportional to 407,268.51, 610,657.25 and 182,588.31 is: 273,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,268.51 : 610,657.25 = 182,588.31 : x
  2. Step 2: Convert to fraction form
    407,268.51/610,657.25 = 182,588.31/x
  3. Step 3: Cross multiply
    407,268.51x = 610,657.25 × 182,588.31
  4. Step 4: Simplify right side
    407,268.51x = 111,498,874,353.81
  5. Step 5: Solve for x
    x = 111,498,874,353.81/407,268.51
  6. Step 6: Final answer
    x = 273,772.39

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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.