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Finding the Fourth Proportional to 537,714.40, 806,571.60 and 411,743.20

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Solution

The fourth proportional to 537,714.40, 806,571.60 and 411,743.20 is: 617,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,714.40 : 806,571.60 = 411,743.20 : x
  2. Step 2: Convert to fraction form
    537,714.40/806,571.60 = 411,743.20/x
  3. Step 3: Cross multiply
    537,714.40x = 806,571.60 × 411,743.20
  4. Step 4: Simplify right side
    537,714.40x = 332,100,371,613.12
  5. Step 5: Solve for x
    x = 332,100,371,613.12/537,714.40
  6. Step 6: Final answer
    x = 617,614.80

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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.