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Finding the Fourth Proportional to 430,128.16, 644,714.16 and 324,604.96

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Solution

The fourth proportional to 430,128.16, 644,714.16 and 324,604.96 is: 486,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,128.16 : 644,714.16 = 324,604.96 : x
  2. Step 2: Convert to fraction form
    430,128.16/644,714.16 = 324,604.96/x
  3. Step 3: Cross multiply
    430,128.16x = 644,714.16 × 324,604.96
  4. Step 4: Simplify right side
    430,128.16x = 209,277,414,118.23
  5. Step 5: Solve for x
    x = 209,277,414,118.23/430,128.16
  6. Step 6: Final answer
    x = 486,546.65

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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.