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Finding the Fourth Proportional to 471,173.96, 706,352.69 and 190,508.96

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Solution

The fourth proportional to 471,173.96, 706,352.69 and 190,508.96 is: 285,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,173.96 : 706,352.69 = 190,508.96 : x
  2. Step 2: Convert to fraction form
    471,173.96/706,352.69 = 190,508.96/x
  3. Step 3: Cross multiply
    471,173.96x = 706,352.69 × 190,508.96
  4. Step 4: Simplify right side
    471,173.96x = 134,566,511,880.79
  5. Step 5: Solve for x
    x = 134,566,511,880.79/471,173.96
  6. Step 6: Final answer
    x = 285,598.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.