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Finding the Fourth Proportional to 430,120.80, 645,310.80 and 305,704.80

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Solution

The fourth proportional to 430,120.80, 645,310.80 and 305,704.80 is: 458,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,120.80 : 645,310.80 = 305,704.80 : x
  2. Step 2: Convert to fraction form
    430,120.80/645,310.80 = 305,704.80/x
  3. Step 3: Cross multiply
    430,120.80x = 645,310.80 × 305,704.80
  4. Step 4: Simplify right side
    430,120.80x = 197,274,609,051.84
  5. Step 5: Solve for x
    x = 197,274,609,051.84/430,120.80
  6. Step 6: Final answer
    x = 458,649.31

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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.