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Finding the Fourth Proportional to 582,494.76, 873,841.77 and 266,978.70

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Solution

The fourth proportional to 582,494.76, 873,841.77 and 266,978.70 is: 400,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,494.76 : 873,841.77 = 266,978.70 : x
  2. Step 2: Convert to fraction form
    582,494.76/873,841.77 = 266,978.70/x
  3. Step 3: Cross multiply
    582,494.76x = 873,841.77 × 266,978.70
  4. Step 4: Simplify right side
    582,494.76x = 233,297,139,760.30
  5. Step 5: Solve for x
    x = 233,297,139,760.30/582,494.76
  6. Step 6: Final answer
    x = 400,513.71

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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.