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Finding the Fourth Proportional to 522,539.84, 721,101.60 and 284,075.84

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Solution

The fourth proportional to 522,539.84, 721,101.60 and 284,075.84 is: 392,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,539.84 : 721,101.60 = 284,075.84 : x
  2. Step 2: Convert to fraction form
    522,539.84/721,101.60 = 284,075.84/x
  3. Step 3: Cross multiply
    522,539.84x = 721,101.60 × 284,075.84
  4. Step 4: Simplify right side
    522,539.84x = 204,847,542,745.34
  5. Step 5: Solve for x
    x = 204,847,542,745.34/522,539.84
  6. Step 6: Final answer
    x = 392,022.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.