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Finding the Fourth Proportional to 613,743.80, 920,615.70 and 193,148.60

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Solution

The fourth proportional to 613,743.80, 920,615.70 and 193,148.60 is: 289,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,743.80 : 920,615.70 = 193,148.60 : x
  2. Step 2: Convert to fraction form
    613,743.80/920,615.70 = 193,148.60/x
  3. Step 3: Cross multiply
    613,743.80x = 920,615.70 × 193,148.60
  4. Step 4: Simplify right side
    613,743.80x = 177,815,633,593.02
  5. Step 5: Solve for x
    x = 177,815,633,593.02/613,743.80
  6. Step 6: Final answer
    x = 289,722.90

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Similar ratio
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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.