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Finding the Fourth Proportional to 485,711.40, 728,567.10 and 384,234.60

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Solution

The fourth proportional to 485,711.40, 728,567.10 and 384,234.60 is: 576,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,711.40 : 728,567.10 = 384,234.60 : x
  2. Step 2: Convert to fraction form
    485,711.40/728,567.10 = 384,234.60/x
  3. Step 3: Cross multiply
    485,711.40x = 728,567.10 × 384,234.60
  4. Step 4: Simplify right side
    485,711.40x = 279,940,688,241.66
  5. Step 5: Solve for x
    x = 279,940,688,241.66/485,711.40
  6. Step 6: Final answer
    x = 576,351.90

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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.