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Finding the Fourth Proportional to 547,271.40, 820,907.10 and 448,856.40

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Solution

The fourth proportional to 547,271.40, 820,907.10 and 448,856.40 is: 673,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,271.40 : 820,907.10 = 448,856.40 : x
  2. Step 2: Convert to fraction form
    547,271.40/820,907.10 = 448,856.40/x
  3. Step 3: Cross multiply
    547,271.40x = 820,907.10 × 448,856.40
  4. Step 4: Simplify right side
    547,271.40x = 368,469,405,640.44
  5. Step 5: Solve for x
    x = 368,469,405,640.44/547,271.40
  6. Step 6: Final answer
    x = 673,284.60

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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.