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Finding the Fourth Proportional to 280,853.70, 421,280.55 and 280,853.70

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Solution

The fourth proportional to 280,853.70, 421,280.55 and 280,853.70 is: 421,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,853.70 : 421,280.55 = 280,853.70 : x
  2. Step 2: Convert to fraction form
    280,853.70/421,280.55 = 280,853.70/x
  3. Step 3: Cross multiply
    280,853.70x = 421,280.55 × 280,853.70
  4. Step 4: Simplify right side
    280,853.70x = 118,318,201,205.54
  5. Step 5: Solve for x
    x = 118,318,201,205.54/280,853.70
  6. Step 6: Final answer
    x = 421,280.55

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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.