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Finding the Fourth Proportional to 582,020.64, 803,199.24 and 323,919

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Solution

The fourth proportional to 582,020.64, 803,199.24 and 323,919 is: 447,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,020.64 : 803,199.24 = 323,919 : x
  2. Step 2: Convert to fraction form
    582,020.64/803,199.24 = 323,919/x
  3. Step 3: Cross multiply
    582,020.64x = 803,199.24 × 323,919
  4. Step 4: Simplify right side
    582,020.64x = 260,171,494,621.56
  5. Step 5: Solve for x
    x = 260,171,494,621.56/582,020.64
  6. Step 6: Final answer
    x = 447,014.21

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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.