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Finding the Fourth Proportional to 510,114.60, 765,171.90 and 431,382.60

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Solution

The fourth proportional to 510,114.60, 765,171.90 and 431,382.60 is: 647,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,114.60 : 765,171.90 = 431,382.60 : x
  2. Step 2: Convert to fraction form
    510,114.60/765,171.90 = 431,382.60/x
  3. Step 3: Cross multiply
    510,114.60x = 765,171.90 × 431,382.60
  4. Step 4: Simplify right side
    510,114.60x = 330,081,843,668.94
  5. Step 5: Solve for x
    x = 330,081,843,668.94/510,114.60
  6. Step 6: Final answer
    x = 647,073.90

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Half scale
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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.