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Finding the Fourth Proportional to 419,725.40, 579,221.48 and 228,738.94

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Solution

The fourth proportional to 419,725.40, 579,221.48 and 228,738.94 is: 315,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,725.40 : 579,221.48 = 228,738.94 : x
  2. Step 2: Convert to fraction form
    419,725.40/579,221.48 = 228,738.94/x
  3. Step 3: Cross multiply
    419,725.40x = 579,221.48 × 228,738.94
  4. Step 4: Simplify right side
    419,725.40x = 132,490,506,484.23
  5. Step 5: Solve for x
    x = 132,490,506,484.23/419,725.40
  6. Step 6: Final answer
    x = 315,659.97

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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.