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Finding the Fourth Proportional to 646,934.40, 970,401.60 and 410,738.40

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Solution

The fourth proportional to 646,934.40, 970,401.60 and 410,738.40 is: 616,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,934.40 : 970,401.60 = 410,738.40 : x
  2. Step 2: Convert to fraction form
    646,934.40/970,401.60 = 410,738.40/x
  3. Step 3: Cross multiply
    646,934.40x = 970,401.60 × 410,738.40
  4. Step 4: Simplify right side
    646,934.40x = 398,581,200,541.44
  5. Step 5: Solve for x
    x = 398,581,200,541.44/646,934.40
  6. Step 6: Final answer
    x = 616,107.60

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Double scale
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Similar ratio
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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.