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Finding the Fourth Proportional to 430,100.20, 644,567.10 and 287,540.20

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Solution

The fourth proportional to 430,100.20, 644,567.10 and 287,540.20 is: 430,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,100.20 : 644,567.10 = 287,540.20 : x
  2. Step 2: Convert to fraction form
    430,100.20/644,567.10 = 287,540.20/x
  3. Step 3: Cross multiply
    430,100.20x = 644,567.10 × 287,540.20
  4. Step 4: Simplify right side
    430,100.20x = 185,338,952,847.42
  5. Step 5: Solve for x
    x = 185,338,952,847.42/430,100.20
  6. Step 6: Final answer
    x = 430,920.41

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