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Finding the Fourth Proportional to 314,687.56, 471,929.26 and 104,269

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Solution

The fourth proportional to 314,687.56, 471,929.26 and 104,269 is: 156,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,687.56 : 471,929.26 = 104,269 : x
  2. Step 2: Convert to fraction form
    314,687.56/471,929.26 = 104,269/x
  3. Step 3: Cross multiply
    314,687.56x = 471,929.26 × 104,269
  4. Step 4: Simplify right side
    314,687.56x = 49,207,592,010.94
  5. Step 5: Solve for x
    x = 49,207,592,010.94/314,687.56
  6. Step 6: Final answer
    x = 156,369.68

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