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Finding the Fourth Proportional to 582,753.72, 874,286.10 and 208,814.52

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Solution

The fourth proportional to 582,753.72, 874,286.10 and 208,814.52 is: 313,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,753.72 : 874,286.10 = 208,814.52 : x
  2. Step 2: Convert to fraction form
    582,753.72/874,286.10 = 208,814.52/x
  3. Step 3: Cross multiply
    582,753.72x = 874,286.10 × 208,814.52
  4. Step 4: Simplify right side
    582,753.72x = 182,563,632,314.17
  5. Step 5: Solve for x
    x = 182,563,632,314.17/582,753.72
  6. Step 6: Final answer
    x = 313,277.51

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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.