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Finding the Fourth Proportional to 430,096.20, 644,561.10 and 287,536.20

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Solution

The fourth proportional to 430,096.20, 644,561.10 and 287,536.20 is: 430,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,096.20 : 644,561.10 = 287,536.20 : x
  2. Step 2: Convert to fraction form
    430,096.20/644,561.10 = 287,536.20/x
  3. Step 3: Cross multiply
    430,096.20x = 644,561.10 × 287,536.20
  4. Step 4: Simplify right side
    430,096.20x = 185,334,649,361.82
  5. Step 5: Solve for x
    x = 185,334,649,361.82/430,096.20
  6. Step 6: Final answer
    x = 430,914.41

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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.