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Finding the Fourth Proportional to 419,739.84, 579,226.20 and 228,749.40

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Solution

The fourth proportional to 419,739.84, 579,226.20 and 228,749.40 is: 315,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,739.84 : 579,226.20 = 228,749.40 : x
  2. Step 2: Convert to fraction form
    419,739.84/579,226.20 = 228,749.40/x
  3. Step 3: Cross multiply
    419,739.84x = 579,226.20 × 228,749.40
  4. Step 4: Simplify right side
    419,739.84x = 132,497,645,714.28
  5. Step 5: Solve for x
    x = 132,497,645,714.28/419,739.84
  6. Step 6: Final answer
    x = 315,666.12

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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.