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Finding the Fourth Proportional to 383,908.80, 575,863.20 and 257,937.60

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Solution

The fourth proportional to 383,908.80, 575,863.20 and 257,937.60 is: 386,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,908.80 : 575,863.20 = 257,937.60 : x
  2. Step 2: Convert to fraction form
    383,908.80/575,863.20 = 257,937.60/x
  3. Step 3: Cross multiply
    383,908.80x = 575,863.20 × 257,937.60
  4. Step 4: Simplify right side
    383,908.80x = 148,536,771,736.32
  5. Step 5: Solve for x
    x = 148,536,771,736.32/383,908.80
  6. Step 6: Final answer
    x = 386,906.40

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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.