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Finding the Fourth Proportional to 339,314.14, 509,027.10 and 114,688.18

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Solution

The fourth proportional to 339,314.14, 509,027.10 and 114,688.18 is: 172,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,314.14 : 509,027.10 = 114,688.18 : x
  2. Step 2: Convert to fraction form
    339,314.14/509,027.10 = 114,688.18/x
  3. Step 3: Cross multiply
    339,314.14x = 509,027.10 × 114,688.18
  4. Step 4: Simplify right side
    339,314.14x = 58,379,391,669.68
  5. Step 5: Solve for x
    x = 58,379,391,669.68/339,314.14
  6. Step 6: Final answer
    x = 172,051.16

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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.