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Finding the Fourth Proportional to 295,535.88, 407,973.78 and 188,253

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Solution

The fourth proportional to 295,535.88, 407,973.78 and 188,253 is: 259,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,535.88 : 407,973.78 = 188,253 : x
  2. Step 2: Convert to fraction form
    295,535.88/407,973.78 = 188,253/x
  3. Step 3: Cross multiply
    295,535.88x = 407,973.78 × 188,253
  4. Step 4: Simplify right side
    295,535.88x = 76,802,288,006.34
  5. Step 5: Solve for x
    x = 76,802,288,006.34/295,535.88
  6. Step 6: Final answer
    x = 259,874.67

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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.