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Finding the Fourth Proportional to 775,425.50, 1,163,138.26 and 214,460

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Solution

The fourth proportional to 775,425.50, 1,163,138.26 and 214,460 is: 321,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,425.50 : 1,163,138.26 = 214,460 : x
  2. Step 2: Convert to fraction form
    775,425.50/1,163,138.26 = 214,460/x
  3. Step 3: Cross multiply
    775,425.50x = 1,163,138.26 × 214,460
  4. Step 4: Simplify right side
    775,425.50x = 249,446,631,239.60
  5. Step 5: Solve for x
    x = 249,446,631,239.60/775,425.50
  6. Step 6: Final answer
    x = 321,690.00

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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.