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Finding the Fourth Proportional to 582,224.67, 803,461.77 and 327,575.25

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Solution

The fourth proportional to 582,224.67, 803,461.77 and 327,575.25 is: 452,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,224.67 : 803,461.77 = 327,575.25 : x
  2. Step 2: Convert to fraction form
    582,224.67/803,461.77 = 327,575.25/x
  3. Step 3: Cross multiply
    582,224.67x = 803,461.77 × 327,575.25
  4. Step 4: Simplify right side
    582,224.67x = 263,194,190,173.19
  5. Step 5: Solve for x
    x = 263,194,190,173.19/582,224.67
  6. Step 6: Final answer
    x = 452,049.19

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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.