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Finding the Fourth Proportional to 462,818.80, 694,228.20 and 284,748.40

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Solution

The fourth proportional to 462,818.80, 694,228.20 and 284,748.40 is: 427,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,818.80 : 694,228.20 = 284,748.40 : x
  2. Step 2: Convert to fraction form
    462,818.80/694,228.20 = 284,748.40/x
  3. Step 3: Cross multiply
    462,818.80x = 694,228.20 × 284,748.40
  4. Step 4: Simplify right side
    462,818.80x = 197,680,369,184.88
  5. Step 5: Solve for x
    x = 197,680,369,184.88/462,818.80
  6. Step 6: Final answer
    x = 427,122.60

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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.