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Finding the Fourth Proportional to 469,864.94, 704,839.96 and 132,909

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Solution

The fourth proportional to 469,864.94, 704,839.96 and 132,909 is: 199,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,864.94 : 704,839.96 = 132,909 : x
  2. Step 2: Convert to fraction form
    469,864.94/704,839.96 = 132,909/x
  3. Step 3: Cross multiply
    469,864.94x = 704,839.96 × 132,909
  4. Step 4: Simplify right side
    469,864.94x = 93,679,574,243.64
  5. Step 5: Solve for x
    x = 93,679,574,243.64/469,864.94
  6. Step 6: Final answer
    x = 199,375.54

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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.