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Finding the Fourth Proportional to 471,174, 650,220.12 and 259,206

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Solution

The fourth proportional to 471,174, 650,220.12 and 259,206 is: 357,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,174 : 650,220.12 = 259,206 : x
  2. Step 2: Convert to fraction form
    471,174/650,220.12 = 259,206/x
  3. Step 3: Cross multiply
    471,174x = 650,220.12 × 259,206
  4. Step 4: Simplify right side
    471,174x = 168,540,956,424.72
  5. Step 5: Solve for x
    x = 168,540,956,424.72/471,174
  6. Step 6: Final answer
    x = 357,704.28

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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.