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Finding the Fourth Proportional to 276,437.40, 414,656.10 and 136,469.40

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Solution

The fourth proportional to 276,437.40, 414,656.10 and 136,469.40 is: 204,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,437.40 : 414,656.10 = 136,469.40 : x
  2. Step 2: Convert to fraction form
    276,437.40/414,656.10 = 136,469.40/x
  3. Step 3: Cross multiply
    276,437.40x = 414,656.10 × 136,469.40
  4. Step 4: Simplify right side
    276,437.40x = 56,587,869,173.34
  5. Step 5: Solve for x
    x = 56,587,869,173.34/276,437.40
  6. Step 6: Final answer
    x = 204,704.10

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1.5x scale

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.