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Finding the Fourth Proportional to 471,673.49, 707,501.86 and 116,687.48

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Solution

The fourth proportional to 471,673.49, 707,501.86 and 116,687.48 is: 175,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,673.49 : 707,501.86 = 116,687.48 : x
  2. Step 2: Convert to fraction form
    471,673.49/707,501.86 = 116,687.48/x
  3. Step 3: Cross multiply
    471,673.49x = 707,501.86 × 116,687.48
  4. Step 4: Simplify right side
    471,673.49x = 82,556,605,309.48
  5. Step 5: Solve for x
    x = 82,556,605,309.48/471,673.49
  6. Step 6: Final answer
    x = 175,029.14

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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.