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Finding the Fourth Proportional to 293,668.40, 411,965.20 and 293,668.40

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Solution

The fourth proportional to 293,668.40, 411,965.20 and 293,668.40 is: 411,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,668.40 : 411,965.20 = 293,668.40 : x
  2. Step 2: Convert to fraction form
    293,668.40/411,965.20 = 293,668.40/x
  3. Step 3: Cross multiply
    293,668.40x = 411,965.20 × 293,668.40
  4. Step 4: Simplify right side
    293,668.40x = 120,981,161,139.68
  5. Step 5: Solve for x
    x = 120,981,161,139.68/293,668.40
  6. Step 6: Final answer
    x = 411,965.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.