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Finding the Fourth Proportional to 471,173.46, 706,351.94 and 190,508.46

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Solution

The fourth proportional to 471,173.46, 706,351.94 and 190,508.46 is: 285,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,173.46 : 706,351.94 = 190,508.46 : x
  2. Step 2: Convert to fraction form
    471,173.46/706,351.94 = 190,508.46/x
  3. Step 3: Cross multiply
    471,173.46x = 706,351.94 × 190,508.46
  4. Step 4: Simplify right side
    471,173.46x = 134,566,020,307.41
  5. Step 5: Solve for x
    x = 134,566,020,307.41/471,173.46
  6. Step 6: Final answer
    x = 285,597.62

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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.