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Finding the Fourth Proportional to 582,096, 873,249.76 and 240,540.25

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Solution

The fourth proportional to 582,096, 873,249.76 and 240,540.25 is: 360,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,096 : 873,249.76 = 240,540.25 : x
  2. Step 2: Convert to fraction form
    582,096/873,249.76 = 240,540.25/x
  3. Step 3: Cross multiply
    582,096x = 873,249.76 × 240,540.25
  4. Step 4: Simplify right side
    582,096x = 210,051,715,582.84
  5. Step 5: Solve for x
    x = 210,051,715,582.84/582,096
  6. Step 6: Final answer
    x = 360,854.08

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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.