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Finding the Fourth Proportional to 276,694.40, 415,041.60 and 206,710.40

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Solution

The fourth proportional to 276,694.40, 415,041.60 and 206,710.40 is: 310,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,694.40 : 415,041.60 = 206,710.40 : x
  2. Step 2: Convert to fraction form
    276,694.40/415,041.60 = 206,710.40/x
  3. Step 3: Cross multiply
    276,694.40x = 415,041.60 × 206,710.40
  4. Step 4: Simplify right side
    276,694.40x = 85,793,415,152.64
  5. Step 5: Solve for x
    x = 85,793,415,152.64/276,694.40
  6. Step 6: Final answer
    x = 310,065.60

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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.