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Finding the Fourth Proportional to 276,698.10, 415,047.15 and 241,706.10

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Solution

The fourth proportional to 276,698.10, 415,047.15 and 241,706.10 is: 362,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,698.10 : 415,047.15 = 241,706.10 : x
  2. Step 2: Convert to fraction form
    276,698.10/415,047.15 = 241,706.10/x
  3. Step 3: Cross multiply
    276,698.10x = 415,047.15 × 241,706.10
  4. Step 4: Simplify right side
    276,698.10x = 100,319,427,942.62
  5. Step 5: Solve for x
    x = 100,319,427,942.62/276,698.10
  6. Step 6: Final answer
    x = 362,559.15

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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.