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Finding the Fourth Proportional to 257,705.83, 355,768.22 and 200,215.68

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Solution

The fourth proportional to 257,705.83, 355,768.22 and 200,215.68 is: 276,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,705.83 : 355,768.22 = 200,215.68 : x
  2. Step 2: Convert to fraction form
    257,705.83/355,768.22 = 200,215.68/x
  3. Step 3: Cross multiply
    257,705.83x = 355,768.22 × 200,215.68
  4. Step 4: Simplify right side
    257,705.83x = 71,230,376,089.69
  5. Step 5: Solve for x
    x = 71,230,376,089.69/257,705.83
  6. Step 6: Final answer
    x = 276,401.88

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1.5x scale

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.