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Finding the Fourth Proportional to 339,693.40, 509,475.30 and 103,043.80

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Solution

The fourth proportional to 339,693.40, 509,475.30 and 103,043.80 is: 154,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,693.40 : 509,475.30 = 103,043.80 : x
  2. Step 2: Convert to fraction form
    339,693.40/509,475.30 = 103,043.80/x
  3. Step 3: Cross multiply
    339,693.40x = 509,475.30 × 103,043.80
  4. Step 4: Simplify right side
    339,693.40x = 52,498,270,918.14
  5. Step 5: Solve for x
    x = 52,498,270,918.14/339,693.40
  6. Step 6: Final answer
    x = 154,546.04

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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.