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Finding the Fourth Proportional to 334,668.08, 461,841 and 200,532.08

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Solution

The fourth proportional to 334,668.08, 461,841 and 200,532.08 is: 276,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,668.08 : 461,841 = 200,532.08 : x
  2. Step 2: Convert to fraction form
    334,668.08/461,841 = 200,532.08/x
  3. Step 3: Cross multiply
    334,668.08x = 461,841 × 200,532.08
  4. Step 4: Simplify right side
    334,668.08x = 92,613,936,359.28
  5. Step 5: Solve for x
    x = 92,613,936,359.28/334,668.08
  6. Step 6: Final answer
    x = 276,733.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.