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Finding the Fourth Proportional to 582,187.96, 873,281.89 and 161,463.84

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Solution

The fourth proportional to 582,187.96, 873,281.89 and 161,463.84 is: 242,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,187.96 : 873,281.89 = 161,463.84 : x
  2. Step 2: Convert to fraction form
    582,187.96/873,281.89 = 161,463.84/x
  3. Step 3: Cross multiply
    582,187.96x = 873,281.89 × 161,463.84
  4. Step 4: Simplify right side
    582,187.96x = 141,003,447,361.86
  5. Step 5: Solve for x
    x = 141,003,447,361.86/582,187.96
  6. Step 6: Final answer
    x = 242,195.75

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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.