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Finding the Fourth Proportional to 428,543.34, 642,816.09 and 129,024.78

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Solution

The fourth proportional to 428,543.34, 642,816.09 and 129,024.78 is: 193,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,543.34 : 642,816.09 = 129,024.78 : x
  2. Step 2: Convert to fraction form
    428,543.34/642,816.09 = 129,024.78/x
  3. Step 3: Cross multiply
    428,543.34x = 642,816.09 × 129,024.78
  4. Step 4: Simplify right side
    428,543.34x = 82,939,204,592.71
  5. Step 5: Solve for x
    x = 82,939,204,592.71/428,543.34
  6. Step 6: Final answer
    x = 193,537.50

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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.