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Finding the Fourth Proportional to 561,231.48, 774,754.44 and 357,561.72

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Solution

The fourth proportional to 561,231.48, 774,754.44 and 357,561.72 is: 493,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,231.48 : 774,754.44 = 357,561.72 : x
  2. Step 2: Convert to fraction form
    561,231.48/774,754.44 = 357,561.72/x
  3. Step 3: Cross multiply
    561,231.48x = 774,754.44 × 357,561.72
  4. Step 4: Simplify right side
    561,231.48x = 277,022,530,144.04
  5. Step 5: Solve for x
    x = 277,022,530,144.04/561,231.48
  6. Step 6: Final answer
    x = 493,597.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.