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Finding the Fourth Proportional to 582,193, 873,289.50 and 161,468.88

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Solution

The fourth proportional to 582,193, 873,289.50 and 161,468.88 is: 242,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,193 : 873,289.50 = 161,468.88 : x
  2. Step 2: Convert to fraction form
    582,193/873,289.50 = 161,468.88/x
  3. Step 3: Cross multiply
    582,193x = 873,289.50 × 161,468.88
  4. Step 4: Simplify right side
    582,193x = 141,009,077,480.76
  5. Step 5: Solve for x
    x = 141,009,077,480.76/582,193
  6. Step 6: Final answer
    x = 242,203.32

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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.