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Finding the Fourth Proportional to 407,268.01, 610,656.50 and 182,587.81

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Solution

The fourth proportional to 407,268.01, 610,656.50 and 182,587.81 is: 273,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,268.01 : 610,656.50 = 182,587.81 : x
  2. Step 2: Convert to fraction form
    407,268.01/610,656.50 = 182,587.81/x
  3. Step 3: Cross multiply
    407,268.01x = 610,656.50 × 182,587.81
  4. Step 4: Simplify right side
    407,268.01x = 111,498,432,084.33
  5. Step 5: Solve for x
    x = 111,498,432,084.33/407,268.01
  6. Step 6: Final answer
    x = 273,771.64

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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.