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Finding the Fourth Proportional to 419,710.20, 579,200.13 and 228,723.60

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Solution

The fourth proportional to 419,710.20, 579,200.13 and 228,723.60 is: 315,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,710.20 : 579,200.13 = 228,723.60 : x
  2. Step 2: Convert to fraction form
    419,710.20/579,200.13 = 228,723.60/x
  3. Step 3: Cross multiply
    419,710.20x = 579,200.13 × 228,723.60
  4. Step 4: Simplify right side
    419,710.20x = 132,476,738,854.07
  5. Step 5: Solve for x
    x = 132,476,738,854.07/419,710.20
  6. Step 6: Final answer
    x = 315,638.60

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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.