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Finding the Fourth Proportional to 270,005.40, 404,891.46 and 82,973.16

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Solution

The fourth proportional to 270,005.40, 404,891.46 and 82,973.16 is: 124,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,005.40 : 404,891.46 = 82,973.16 : x
  2. Step 2: Convert to fraction form
    270,005.40/404,891.46 = 82,973.16/x
  3. Step 3: Cross multiply
    270,005.40x = 404,891.46 × 82,973.16
  4. Step 4: Simplify right side
    270,005.40x = 33,595,123,893.21
  5. Step 5: Solve for x
    x = 33,595,123,893.21/270,005.40
  6. Step 6: Final answer
    x = 124,423.90

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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.