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Finding the Fourth Proportional to 1,217,872.80, 1,826,809.20 and 819,741.60

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Solution

The fourth proportional to 1,217,872.80, 1,826,809.20 and 819,741.60 is: 1,229,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,872.80 : 1,826,809.20 = 819,741.60 : x
  2. Step 2: Convert to fraction form
    1,217,872.80/1,826,809.20 = 819,741.60/x
  3. Step 3: Cross multiply
    1,217,872.80x = 1,826,809.20 × 819,741.60
  4. Step 4: Simplify right side
    1,217,872.80x = 1,497,511,496,502.72
  5. Step 5: Solve for x
    x = 1,497,511,496,502.72/1,217,872.80
  6. Step 6: Final answer
    x = 1,229,612.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.