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Finding the Fourth Proportional to 295,819.48, 407,370.90 and 257,041

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Solution

The fourth proportional to 295,819.48, 407,370.90 and 257,041 is: 353,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,819.48 : 407,370.90 = 257,041 : x
  2. Step 2: Convert to fraction form
    295,819.48/407,370.90 = 257,041/x
  3. Step 3: Cross multiply
    295,819.48x = 407,370.90 × 257,041
  4. Step 4: Simplify right side
    295,819.48x = 104,711,023,506.90
  5. Step 5: Solve for x
    x = 104,711,023,506.90/295,819.48
  6. Step 6: Final answer
    x = 353,969.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.