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Finding the Fourth Proportional to 364,643, 503,232.58 and 203,529.40

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Solution

The fourth proportional to 364,643, 503,232.58 and 203,529.40 is: 280,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,643 : 503,232.58 = 203,529.40 : x
  2. Step 2: Convert to fraction form
    364,643/503,232.58 = 203,529.40/x
  3. Step 3: Cross multiply
    364,643x = 503,232.58 × 203,529.40
  4. Step 4: Simplify right side
    364,643x = 102,422,625,067.85
  5. Step 5: Solve for x
    x = 102,422,625,067.85/364,643
  6. Step 6: Final answer
    x = 280,884.66

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