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Finding the Fourth Proportional to 582,841.88, 873,744.16 and 227,775.16

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Solution

The fourth proportional to 582,841.88, 873,744.16 and 227,775.16 is: 341,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,841.88 : 873,744.16 = 227,775.16 : x
  2. Step 2: Convert to fraction form
    582,841.88/873,744.16 = 227,775.16/x
  3. Step 3: Cross multiply
    582,841.88x = 873,744.16 × 227,775.16
  4. Step 4: Simplify right side
    582,841.88x = 199,017,215,843.07
  5. Step 5: Solve for x
    x = 199,017,215,843.07/582,841.88
  6. Step 6: Final answer
    x = 341,460.05

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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.