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Finding the Fourth Proportional to 364,967.58, 503,582.18 and 203,797.82

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Solution

The fourth proportional to 364,967.58, 503,582.18 and 203,797.82 is: 281,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,967.58 : 503,582.18 = 203,797.82 : x
  2. Step 2: Convert to fraction form
    364,967.58/503,582.18 = 203,797.82/x
  3. Step 3: Cross multiply
    364,967.58x = 503,582.18 × 203,797.82
  4. Step 4: Simplify right side
    364,967.58x = 102,628,950,474.85
  5. Step 5: Solve for x
    x = 102,628,950,474.85/364,967.58
  6. Step 6: Final answer
    x = 281,200.18

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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.