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Finding the Fourth Proportional to 582,181.11, 803,144.43 and 420,780.51

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Solution

The fourth proportional to 582,181.11, 803,144.43 and 420,780.51 is: 580,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,181.11 : 803,144.43 = 420,780.51 : x
  2. Step 2: Convert to fraction form
    582,181.11/803,144.43 = 420,780.51/x
  3. Step 3: Cross multiply
    582,181.11x = 803,144.43 × 420,780.51
  4. Step 4: Simplify right side
    582,181.11x = 337,947,522,859.06
  5. Step 5: Solve for x
    x = 337,947,522,859.06/582,181.11
  6. Step 6: Final answer
    x = 580,485.21

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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.