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Finding the Fourth Proportional to 413,091.09, 619,054.80 and 328,475.60

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Solution

The fourth proportional to 413,091.09, 619,054.80 and 328,475.60 is: 492,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,091.09 : 619,054.80 = 328,475.60 : x
  2. Step 2: Convert to fraction form
    413,091.09/619,054.80 = 328,475.60/x
  3. Step 3: Cross multiply
    413,091.09x = 619,054.80 × 328,475.60
  4. Step 4: Simplify right side
    413,091.09x = 203,344,400,187.14
  5. Step 5: Solve for x
    x = 203,344,400,187.14/413,091.09
  6. Step 6: Final answer
    x = 492,250.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.