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Finding the Fourth Proportional to 276,062.10, 414,530.55 and 201,704.10

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Solution

The fourth proportional to 276,062.10, 414,530.55 and 201,704.10 is: 302,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,062.10 : 414,530.55 = 201,704.10 : x
  2. Step 2: Convert to fraction form
    276,062.10/414,530.55 = 201,704.10/x
  3. Step 3: Cross multiply
    276,062.10x = 414,530.55 × 201,704.10
  4. Step 4: Simplify right side
    276,062.10x = 83,612,511,510.26
  5. Step 5: Solve for x
    x = 83,612,511,510.26/276,062.10
  6. Step 6: Final answer
    x = 302,875.74

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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.