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Finding the Fourth Proportional to 312,321.64, 431,004.02 and 169,081.68

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Solution

The fourth proportional to 312,321.64, 431,004.02 and 169,081.68 is: 233,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,321.64 : 431,004.02 = 169,081.68 : x
  2. Step 2: Convert to fraction form
    312,321.64/431,004.02 = 169,081.68/x
  3. Step 3: Cross multiply
    312,321.64x = 431,004.02 × 169,081.68
  4. Step 4: Simplify right side
    312,321.64x = 72,874,883,788.35
  5. Step 5: Solve for x
    x = 72,874,883,788.35/312,321.64
  6. Step 6: Final answer
    x = 233,332.80

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