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Finding the Fourth Proportional to 419,618.24, 579,065.88 and 228,633.20

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Solution

The fourth proportional to 419,618.24, 579,065.88 and 228,633.20 is: 315,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,618.24 : 579,065.88 = 228,633.20 : x
  2. Step 2: Convert to fraction form
    419,618.24/579,065.88 = 228,633.20/x
  3. Step 3: Cross multiply
    419,618.24x = 579,065.88 × 228,633.20
  4. Step 4: Simplify right side
    419,618.24x = 132,393,685,155.22
  5. Step 5: Solve for x
    x = 132,393,685,155.22/419,618.24
  6. Step 6: Final answer
    x = 315,509.84

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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.