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Finding the Fourth Proportional to 654,297.40, 981,510.90 and 227,767.60

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Solution

The fourth proportional to 654,297.40, 981,510.90 and 227,767.60 is: 341,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,297.40 : 981,510.90 = 227,767.60 : x
  2. Step 2: Convert to fraction form
    654,297.40/981,510.90 = 227,767.60/x
  3. Step 3: Cross multiply
    654,297.40x = 981,510.90 × 227,767.60
  4. Step 4: Simplify right side
    654,297.40x = 223,556,382,066.84
  5. Step 5: Solve for x
    x = 223,556,382,066.84/654,297.40
  6. Step 6: Final answer
    x = 341,673.96

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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.