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Finding the Fourth Proportional to 419,121.60, 578,371.71 and 237,822.72

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Solution

The fourth proportional to 419,121.60, 578,371.71 and 237,822.72 is: 328,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,121.60 : 578,371.71 = 237,822.72 : x
  2. Step 2: Convert to fraction form
    419,121.60/578,371.71 = 237,822.72/x
  3. Step 3: Cross multiply
    419,121.60x = 578,371.71 × 237,822.72
  4. Step 4: Simplify right side
    419,121.60x = 137,549,933,243.25
  5. Step 5: Solve for x
    x = 137,549,933,243.25/419,121.60
  6. Step 6: Final answer
    x = 328,186.22

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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.