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Finding the Fourth Proportional to 582,108.37, 873,306.71 and 278,733.36

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Solution

The fourth proportional to 582,108.37, 873,306.71 and 278,733.36 is: 418,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,108.37 : 873,306.71 = 278,733.36 : x
  2. Step 2: Convert to fraction form
    582,108.37/873,306.71 = 278,733.36/x
  3. Step 3: Cross multiply
    582,108.37x = 873,306.71 × 278,733.36
  4. Step 4: Simplify right side
    582,108.37x = 243,419,716,515.33
  5. Step 5: Solve for x
    x = 243,419,716,515.33/582,108.37
  6. Step 6: Final answer
    x = 418,169.07

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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.