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Finding the Fourth Proportional to 339,609.84, 509,281.32 and 114,908.40

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Solution

The fourth proportional to 339,609.84, 509,281.32 and 114,908.40 is: 172,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,609.84 : 509,281.32 = 114,908.40 : x
  2. Step 2: Convert to fraction form
    339,609.84/509,281.32 = 114,908.40/x
  3. Step 3: Cross multiply
    339,609.84x = 509,281.32 × 114,908.40
  4. Step 4: Simplify right side
    339,609.84x = 58,520,701,631.09
  5. Step 5: Solve for x
    x = 58,520,701,631.09/339,609.84
  6. Step 6: Final answer
    x = 172,317.45

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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.