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Finding the Fourth Proportional to 471,961.04, 707,918.52 and 176,450

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Solution

The fourth proportional to 471,961.04, 707,918.52 and 176,450 is: 264,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,961.04 : 707,918.52 = 176,450 : x
  2. Step 2: Convert to fraction form
    471,961.04/707,918.52 = 176,450/x
  3. Step 3: Cross multiply
    471,961.04x = 707,918.52 × 176,450
  4. Step 4: Simplify right side
    471,961.04x = 124,912,222,854
  5. Step 5: Solve for x
    x = 124,912,222,854/471,961.04
  6. Step 6: Final answer
    x = 264,666.39

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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.