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Finding the Fourth Proportional to 501,074.46, 691,511.04 and 297,246.06

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Solution

The fourth proportional to 501,074.46, 691,511.04 and 297,246.06 is: 410,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,074.46 : 691,511.04 = 297,246.06 : x
  2. Step 2: Convert to fraction form
    501,074.46/691,511.04 = 297,246.06/x
  3. Step 3: Cross multiply
    501,074.46x = 691,511.04 × 297,246.06
  4. Step 4: Simplify right side
    501,074.46x = 205,548,932,086.50
  5. Step 5: Solve for x
    x = 205,548,932,086.50/501,074.46
  6. Step 6: Final answer
    x = 410,216.34

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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.