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Finding the Fourth Proportional to 775,423.50, 1,163,135.25 and 214,458

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Solution

The fourth proportional to 775,423.50, 1,163,135.25 and 214,458 is: 321,687

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,423.50 : 1,163,135.25 = 214,458 : x
  2. Step 2: Convert to fraction form
    775,423.50/1,163,135.25 = 214,458/x
  3. Step 3: Cross multiply
    775,423.50x = 1,163,135.25 × 214,458
  4. Step 4: Simplify right side
    775,423.50x = 249,443,659,444.50
  5. Step 5: Solve for x
    x = 249,443,659,444.50/775,423.50
  6. Step 6: Final answer
    x = 321,687

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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.