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Finding the Fourth Proportional to 419,351.58, 578,710.71 and 238,049.82

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Solution

The fourth proportional to 419,351.58, 578,710.71 and 238,049.82 is: 328,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,351.58 : 578,710.71 = 238,049.82 : x
  2. Step 2: Convert to fraction form
    419,351.58/578,710.71 = 238,049.82/x
  3. Step 3: Cross multiply
    419,351.58x = 578,710.71 × 238,049.82
  4. Step 4: Simplify right side
    419,351.58x = 137,761,980,347.57
  5. Step 5: Solve for x
    x = 137,761,980,347.57/419,351.58
  6. Step 6: Final answer
    x = 328,511.89

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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.