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Finding the Fourth Proportional to 582,286.76, 873,608.39 and 298,178.47

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Solution

The fourth proportional to 582,286.76, 873,608.39 and 298,178.47 is: 447,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,286.76 : 873,608.39 = 298,178.47 : x
  2. Step 2: Convert to fraction form
    582,286.76/873,608.39 = 298,178.47/x
  3. Step 3: Cross multiply
    582,286.76x = 873,608.39 × 298,178.47
  4. Step 4: Simplify right side
    582,286.76x = 260,491,209,486.77
  5. Step 5: Solve for x
    x = 260,491,209,486.77/582,286.76
  6. Step 6: Final answer
    x = 447,358.98

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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.