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Finding the Fourth Proportional to 462,732.30, 693,114.30 and 384,000.30

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Solution

The fourth proportional to 462,732.30, 693,114.30 and 384,000.30 is: 575,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,732.30 : 693,114.30 = 384,000.30 : x
  2. Step 2: Convert to fraction form
    462,732.30/693,114.30 = 384,000.30/x
  3. Step 3: Cross multiply
    462,732.30x = 693,114.30 × 384,000.30
  4. Step 4: Simplify right side
    462,732.30x = 266,156,099,134.29
  5. Step 5: Solve for x
    x = 266,156,099,134.29/462,732.30
  6. Step 6: Final answer
    x = 575,183.75

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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.