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Finding the Fourth Proportional to 357,536.82, 493,278.59 and 204,519.26

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Solution

The fourth proportional to 357,536.82, 493,278.59 and 204,519.26 is: 282,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,536.82 : 493,278.59 = 204,519.26 : x
  2. Step 2: Convert to fraction form
    357,536.82/493,278.59 = 204,519.26/x
  3. Step 3: Cross multiply
    357,536.82x = 493,278.59 × 204,519.26
  4. Step 4: Simplify right side
    357,536.82x = 100,884,972,200.64
  5. Step 5: Solve for x
    x = 100,884,972,200.64/357,536.82
  6. Step 6: Final answer
    x = 282,166.67

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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.