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Finding the Fourth Proportional to 276,078.60, 414,555.30 and 201,720.60

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Solution

The fourth proportional to 276,078.60, 414,555.30 and 201,720.60 is: 302,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,078.60 : 414,555.30 = 201,720.60 : x
  2. Step 2: Convert to fraction form
    276,078.60/414,555.30 = 201,720.60/x
  3. Step 3: Cross multiply
    276,078.60x = 414,555.30 × 201,720.60
  4. Step 4: Simplify right side
    276,078.60x = 83,624,343,849.18
  5. Step 5: Solve for x
    x = 83,624,343,849.18/276,078.60
  6. Step 6: Final answer
    x = 302,900.49

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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.