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Finding the Fourth Proportional to 404,546.70, 607,165.65 and 180,252.30

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Solution

The fourth proportional to 404,546.70, 607,165.65 and 180,252.30 is: 270,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,546.70 : 607,165.65 = 180,252.30 : x
  2. Step 2: Convert to fraction form
    404,546.70/607,165.65 = 180,252.30/x
  3. Step 3: Cross multiply
    404,546.70x = 607,165.65 × 180,252.30
  4. Step 4: Simplify right side
    404,546.70x = 109,443,004,893.50
  5. Step 5: Solve for x
    x = 109,443,004,893.50/404,546.70
  6. Step 6: Final answer
    x = 270,532.44

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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.