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Finding the Fourth Proportional to 582,220, 873,330 and 161,495.88

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Solution

The fourth proportional to 582,220, 873,330 and 161,495.88 is: 242,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,220 : 873,330 = 161,495.88 : x
  2. Step 2: Convert to fraction form
    582,220/873,330 = 161,495.88/x
  3. Step 3: Cross multiply
    582,220x = 873,330 × 161,495.88
  4. Step 4: Simplify right side
    582,220x = 141,039,192,513.75
  5. Step 5: Solve for x
    x = 141,039,192,513.75/582,220
  6. Step 6: Final answer
    x = 242,243.81

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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.