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Finding the Fourth Proportional to 419,833.65, 579,370.46 and 228,847.04

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Solution

The fourth proportional to 419,833.65, 579,370.46 and 228,847.04 is: 315,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,833.65 : 579,370.46 = 228,847.04 : x
  2. Step 2: Convert to fraction form
    419,833.65/579,370.46 = 228,847.04/x
  3. Step 3: Cross multiply
    419,833.65x = 579,370.46 × 228,847.04
  4. Step 4: Simplify right side
    419,833.65x = 132,587,215,996.81
  5. Step 5: Solve for x
    x = 132,587,215,996.81/419,833.65
  6. Step 6: Final answer
    x = 315,808.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.