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Finding the Fourth Proportional to 820,141.70, 1,230,212.55 and 465,847.70

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Solution

The fourth proportional to 820,141.70, 1,230,212.55 and 465,847.70 is: 698,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,141.70 : 1,230,212.55 = 465,847.70 : x
  2. Step 2: Convert to fraction form
    820,141.70/1,230,212.55 = 465,847.70/x
  3. Step 3: Cross multiply
    820,141.70x = 1,230,212.55 × 465,847.70
  4. Step 4: Simplify right side
    820,141.70x = 573,091,686,928.64
  5. Step 5: Solve for x
    x = 573,091,686,928.64/820,141.70
  6. Step 6: Final answer
    x = 698,771.55

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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.