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Finding the Fourth Proportional to 582,716.86, 873,992.25 and 183,347.25

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Solution

The fourth proportional to 582,716.86, 873,992.25 and 183,347.25 is: 274,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,716.86 : 873,992.25 = 183,347.25 : x
  2. Step 2: Convert to fraction form
    582,716.86/873,992.25 = 183,347.25/x
  3. Step 3: Cross multiply
    582,716.86x = 873,992.25 × 183,347.25
  4. Step 4: Simplify right side
    582,716.86x = 160,244,080,171.32
  5. Step 5: Solve for x
    x = 160,244,080,171.32/582,716.86
  6. Step 6: Final answer
    x = 274,994.75

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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.