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Finding the Fourth Proportional to 339,639.40, 509,442.90 and 114,977.80

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Solution

The fourth proportional to 339,639.40, 509,442.90 and 114,977.80 is: 172,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,639.40 : 509,442.90 = 114,977.80 : x
  2. Step 2: Convert to fraction form
    339,639.40/509,442.90 = 114,977.80/x
  3. Step 3: Cross multiply
    339,639.40x = 509,442.90 × 114,977.80
  4. Step 4: Simplify right side
    339,639.40x = 58,574,623,867.62
  5. Step 5: Solve for x
    x = 58,574,623,867.62/339,639.40
  6. Step 6: Final answer
    x = 172,461.22

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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.