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Finding the Fourth Proportional to 340,809.84, 511,214.88 and 91,491.84

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Solution

The fourth proportional to 340,809.84, 511,214.88 and 91,491.84 is: 137,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,809.84 : 511,214.88 = 91,491.84 : x
  2. Step 2: Convert to fraction form
    340,809.84/511,214.88 = 91,491.84/x
  3. Step 3: Cross multiply
    340,809.84x = 511,214.88 × 91,491.84
  4. Step 4: Simplify right side
    340,809.84x = 46,771,990,006.58
  5. Step 5: Solve for x
    x = 46,771,990,006.58/340,809.84
  6. Step 6: Final answer
    x = 137,237.79

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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.