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Finding the Fourth Proportional to 463,668.80, 695,330.40 and 164,033.60

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Solution

The fourth proportional to 463,668.80, 695,330.40 and 164,033.60 is: 245,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,668.80 : 695,330.40 = 164,033.60 : x
  2. Step 2: Convert to fraction form
    463,668.80/695,330.40 = 164,033.60/x
  3. Step 3: Cross multiply
    463,668.80x = 695,330.40 × 164,033.60
  4. Step 4: Simplify right side
    463,668.80x = 114,057,548,701.44
  5. Step 5: Solve for x
    x = 114,057,548,701.44/463,668.80
  6. Step 6: Final answer
    x = 245,989.27

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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.