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Finding the Fourth Proportional to 469,757, 704,629.34 and 114,774.09

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Solution

The fourth proportional to 469,757, 704,629.34 and 114,774.09 is: 172,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,757 : 704,629.34 = 114,774.09 : x
  2. Step 2: Convert to fraction form
    469,757/704,629.34 = 114,774.09/x
  3. Step 3: Cross multiply
    469,757x = 704,629.34 × 114,774.09
  4. Step 4: Simplify right side
    469,757x = 80,873,191,285.80
  5. Step 5: Solve for x
    x = 80,873,191,285.80/469,757
  6. Step 6: Final answer
    x = 172,159.63

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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.