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Finding the Fourth Proportional to 419,046.24, 577,612.44 and 283,037.52

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Solution

The fourth proportional to 419,046.24, 577,612.44 and 283,037.52 is: 390,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,046.24 : 577,612.44 = 283,037.52 : x
  2. Step 2: Convert to fraction form
    419,046.24/577,612.44 = 283,037.52/x
  3. Step 3: Cross multiply
    419,046.24x = 577,612.44 × 283,037.52
  4. Step 4: Simplify right side
    419,046.24x = 163,485,992,538.75
  5. Step 5: Solve for x
    x = 163,485,992,538.75/419,046.24
  6. Step 6: Final answer
    x = 390,138.31

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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.