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Finding the Fourth Proportional to 510,662.07, 765,598.37 and 257,812.40

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Solution

The fourth proportional to 510,662.07, 765,598.37 and 257,812.40 is: 386,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,662.07 : 765,598.37 = 257,812.40 : x
  2. Step 2: Convert to fraction form
    510,662.07/765,598.37 = 257,812.40/x
  3. Step 3: Cross multiply
    510,662.07x = 765,598.37 × 257,812.40
  4. Step 4: Simplify right side
    510,662.07x = 197,380,753,830.72
  5. Step 5: Solve for x
    x = 197,380,753,830.72/510,662.07
  6. Step 6: Final answer
    x = 386,519.32

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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.