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Finding the Fourth Proportional to 276,069.10, 414,541.05 and 201,711.10

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Solution

The fourth proportional to 276,069.10, 414,541.05 and 201,711.10 is: 302,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,069.10 : 414,541.05 = 201,711.10 : x
  2. Step 2: Convert to fraction form
    276,069.10/414,541.05 = 201,711.10/x
  3. Step 3: Cross multiply
    276,069.10x = 414,541.05 × 201,711.10
  4. Step 4: Simplify right side
    276,069.10x = 83,617,531,190.66
  5. Step 5: Solve for x
    x = 83,617,531,190.66/276,069.10
  6. Step 6: Final answer
    x = 302,886.24

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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.