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Finding the Fourth Proportional to 273,208.40, 409,812.60 and 238,216.40

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Solution

The fourth proportional to 273,208.40, 409,812.60 and 238,216.40 is: 357,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,208.40 : 409,812.60 = 238,216.40 : x
  2. Step 2: Convert to fraction form
    273,208.40/409,812.60 = 238,216.40/x
  3. Step 3: Cross multiply
    273,208.40x = 409,812.60 × 238,216.40
  4. Step 4: Simplify right side
    273,208.40x = 97,624,082,246.64
  5. Step 5: Solve for x
    x = 97,624,082,246.64/273,208.40
  6. Step 6: Final answer
    x = 357,324.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.