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Finding the Fourth Proportional to 582,172.12, 803,389.62 and 327,523.60

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Solution

The fourth proportional to 582,172.12, 803,389.62 and 327,523.60 is: 451,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,172.12 : 803,389.62 = 327,523.60 : x
  2. Step 2: Convert to fraction form
    582,172.12/803,389.62 = 327,523.60/x
  3. Step 3: Cross multiply
    582,172.12x = 803,389.62 × 327,523.60
  4. Step 4: Simplify right side
    582,172.12x = 263,129,060,545.03
  5. Step 5: Solve for x
    x = 263,129,060,545.03/582,172.12
  6. Step 6: Final answer
    x = 451,978.12

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Why These Related Problems?

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