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Finding the Fourth Proportional to 214,293.98, 321,409.38 and 56,533.52

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Solution

The fourth proportional to 214,293.98, 321,409.38 and 56,533.52 is: 84,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,293.98 : 321,409.38 = 56,533.52 : x
  2. Step 2: Convert to fraction form
    214,293.98/321,409.38 = 56,533.52/x
  3. Step 3: Cross multiply
    214,293.98x = 321,409.38 × 56,533.52
  4. Step 4: Simplify right side
    214,293.98x = 18,170,403,612.42
  5. Step 5: Solve for x
    x = 18,170,403,612.42/214,293.98
  6. Step 6: Final answer
    x = 84,791.95

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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.