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Finding the Fourth Proportional to 501,825.62, 692,405.01 and 297,771.14

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Solution

The fourth proportional to 501,825.62, 692,405.01 and 297,771.14 is: 410,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,825.62 : 692,405.01 = 297,771.14 : x
  2. Step 2: Convert to fraction form
    501,825.62/692,405.01 = 297,771.14/x
  3. Step 3: Cross multiply
    501,825.62x = 692,405.01 × 297,771.14
  4. Step 4: Simplify right side
    501,825.62x = 206,178,229,169.41
  5. Step 5: Solve for x
    x = 206,178,229,169.41/501,825.62
  6. Step 6: Final answer
    x = 410,856.32

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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.