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Finding the Fourth Proportional to 465,511.60, 698,267.40 and 443,860.30

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Solution

The fourth proportional to 465,511.60, 698,267.40 and 443,860.30 is: 665,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,511.60 : 698,267.40 = 443,860.30 : x
  2. Step 2: Convert to fraction form
    465,511.60/698,267.40 = 443,860.30/x
  3. Step 3: Cross multiply
    465,511.60x = 698,267.40 × 443,860.30
  4. Step 4: Simplify right side
    465,511.60x = 309,933,177,644.22
  5. Step 5: Solve for x
    x = 309,933,177,644.22/465,511.60
  6. Step 6: Final answer
    x = 665,790.45

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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.