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Finding the Fourth Proportional to 419,538.51, 578,967.12 and 238,254.21

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Solution

The fourth proportional to 419,538.51, 578,967.12 and 238,254.21 is: 328,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,538.51 : 578,967.12 = 238,254.21 : x
  2. Step 2: Convert to fraction form
    419,538.51/578,967.12 = 238,254.21/x
  3. Step 3: Cross multiply
    419,538.51x = 578,967.12 × 238,254.21
  4. Step 4: Simplify right side
    419,538.51x = 137,941,353,791.58
  5. Step 5: Solve for x
    x = 137,941,353,791.58/419,538.51
  6. Step 6: Final answer
    x = 328,793.07

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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.