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Finding the Fourth Proportional to 420,812.10, 580,719.93 and 229,825.44

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Solution

The fourth proportional to 420,812.10, 580,719.93 and 229,825.44 is: 317,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,812.10 : 580,719.93 = 229,825.44 : x
  2. Step 2: Convert to fraction form
    420,812.10/580,719.93 = 229,825.44/x
  3. Step 3: Cross multiply
    420,812.10x = 580,719.93 × 229,825.44
  4. Step 4: Simplify right side
    420,812.10x = 133,464,213,429.02
  5. Step 5: Solve for x
    x = 133,464,213,429.02/420,812.10
  6. Step 6: Final answer
    x = 317,158.69

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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.