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Finding the Fourth Proportional to 419,725.74, 579,222.30 and 228,739.08

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Solution

The fourth proportional to 419,725.74, 579,222.30 and 228,739.08 is: 315,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,725.74 : 579,222.30 = 228,739.08 : x
  2. Step 2: Convert to fraction form
    419,725.74/579,222.30 = 228,739.08/x
  3. Step 3: Cross multiply
    419,725.74x = 579,222.30 × 228,739.08
  4. Step 4: Simplify right side
    419,725.74x = 132,490,776,017.48
  5. Step 5: Solve for x
    x = 132,490,776,017.48/419,725.74
  6. Step 6: Final answer
    x = 315,660.35

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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.