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Finding the Fourth Proportional to 314,103.83, 433,268.73 and 273,914.06

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Solution

The fourth proportional to 314,103.83, 433,268.73 and 273,914.06 is: 377,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,103.83 : 433,268.73 = 273,914.06 : x
  2. Step 2: Convert to fraction form
    314,103.83/433,268.73 = 273,914.06/x
  3. Step 3: Cross multiply
    314,103.83x = 433,268.73 × 273,914.06
  4. Step 4: Simplify right side
    314,103.83x = 118,678,394,739.00
  5. Step 5: Solve for x
    x = 118,678,394,739.00/314,103.83
  6. Step 6: Final answer
    x = 377,831.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.