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Finding the Fourth Proportional to 286,564.40, 429,846.60 and 247,198.40

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Solution

The fourth proportional to 286,564.40, 429,846.60 and 247,198.40 is: 370,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,564.40 : 429,846.60 = 247,198.40 : x
  2. Step 2: Convert to fraction form
    286,564.40/429,846.60 = 247,198.40/x
  3. Step 3: Cross multiply
    286,564.40x = 429,846.60 × 247,198.40
  4. Step 4: Simplify right side
    286,564.40x = 106,257,391,765.44
  5. Step 5: Solve for x
    x = 106,257,391,765.44/286,564.40
  6. Step 6: Final answer
    x = 370,797.60

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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.