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Finding the Fourth Proportional to 301,704.94, 416,306.58 and 174,355.96

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Solution

The fourth proportional to 301,704.94, 416,306.58 and 174,355.96 is: 240,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,704.94 : 416,306.58 = 174,355.96 : x
  2. Step 2: Convert to fraction form
    301,704.94/416,306.58 = 174,355.96/x
  3. Step 3: Cross multiply
    301,704.94x = 416,306.58 × 174,355.96
  4. Step 4: Simplify right side
    301,704.94x = 72,585,533,410.22
  5. Step 5: Solve for x
    x = 72,585,533,410.22/301,704.94
  6. Step 6: Final answer
    x = 240,584.50

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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.