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Finding the Fourth Proportional to 471,176, 650,222.88 and 259,208

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Solution

The fourth proportional to 471,176, 650,222.88 and 259,208 is: 357,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,176 : 650,222.88 = 259,208 : x
  2. Step 2: Convert to fraction form
    471,176/650,222.88 = 259,208/x
  3. Step 3: Cross multiply
    471,176x = 650,222.88 × 259,208
  4. Step 4: Simplify right side
    471,176x = 168,542,972,279.04
  5. Step 5: Solve for x
    x = 168,542,972,279.04/471,176
  6. Step 6: Final answer
    x = 357,707.04

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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.