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Finding the Fourth Proportional to 340,923.20, 511,461.60 and 200,609.60

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Solution

The fourth proportional to 340,923.20, 511,461.60 and 200,609.60 is: 300,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,923.20 : 511,461.60 = 200,609.60 : x
  2. Step 2: Convert to fraction form
    340,923.20/511,461.60 = 200,609.60/x
  3. Step 3: Cross multiply
    340,923.20x = 511,461.60 × 200,609.60
  4. Step 4: Simplify right side
    340,923.20x = 102,604,106,991.36
  5. Step 5: Solve for x
    x = 102,604,106,991.36/340,923.20
  6. Step 6: Final answer
    x = 300,959.59

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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.