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Finding the Fourth Proportional to 582,421.68, 803,740.27 and 327,772.86

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Solution

The fourth proportional to 582,421.68, 803,740.27 and 327,772.86 is: 452,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,421.68 : 803,740.27 = 327,772.86 : x
  2. Step 2: Convert to fraction form
    582,421.68/803,740.27 = 327,772.86/x
  3. Step 3: Cross multiply
    582,421.68x = 803,740.27 × 327,772.86
  4. Step 4: Simplify right side
    582,421.68x = 263,444,246,995.07
  5. Step 5: Solve for x
    x = 263,444,246,995.07/582,421.68
  6. Step 6: Final answer
    x = 452,325.62

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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.