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Finding the Fourth Proportional to 775,420.50, 1,163,130.75 and 214,455

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Solution

The fourth proportional to 775,420.50, 1,163,130.75 and 214,455 is: 321,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,420.50 : 1,163,130.75 = 214,455 : x
  2. Step 2: Convert to fraction form
    775,420.50/1,163,130.75 = 214,455/x
  3. Step 3: Cross multiply
    775,420.50x = 1,163,130.75 × 214,455
  4. Step 4: Simplify right side
    775,420.50x = 249,439,204,991.25
  5. Step 5: Solve for x
    x = 249,439,204,991.25/775,420.50
  6. Step 6: Final answer
    x = 321,682.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.