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Finding the Fourth Proportional to 339,624, 509,513.76 and 118,008

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Solution

The fourth proportional to 339,624, 509,513.76 and 118,008 is: 177,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,624 : 509,513.76 = 118,008 : x
  2. Step 2: Convert to fraction form
    339,624/509,513.76 = 118,008/x
  3. Step 3: Cross multiply
    339,624x = 509,513.76 × 118,008
  4. Step 4: Simplify right side
    339,624x = 60,126,699,790.08
  5. Step 5: Solve for x
    x = 60,126,699,790.08/339,624
  6. Step 6: Final answer
    x = 177,039.02

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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.