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Finding the Fourth Proportional to 314,553.21, 471,714.97 and 114,814.50

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Solution

The fourth proportional to 314,553.21, 471,714.97 and 114,814.50 is: 172,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,553.21 : 471,714.97 = 114,814.50 : x
  2. Step 2: Convert to fraction form
    314,553.21/471,714.97 = 114,814.50/x
  3. Step 3: Cross multiply
    314,553.21x = 471,714.97 × 114,814.50
  4. Step 4: Simplify right side
    314,553.21x = 54,159,718,423.07
  5. Step 5: Solve for x
    x = 54,159,718,423.07/314,553.21
  6. Step 6: Final answer
    x = 172,179.83

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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.