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Finding the Fourth Proportional to 420,914.92, 580,875.32 and 229,940.62

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Solution

The fourth proportional to 420,914.92, 580,875.32 and 229,940.62 is: 317,325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,914.92 : 580,875.32 = 229,940.62 : x
  2. Step 2: Convert to fraction form
    420,914.92/580,875.32 = 229,940.62/x
  3. Step 3: Cross multiply
    420,914.92x = 580,875.32 × 229,940.62
  4. Step 4: Simplify right side
    420,914.92x = 133,566,831,223.50
  5. Step 5: Solve for x
    x = 133,566,831,223.50/420,914.92
  6. Step 6: Final answer
    x = 317,325.01

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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.