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Finding the Fourth Proportional to 471,977.91, 707,953.89 and 116,984.07

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Solution

The fourth proportional to 471,977.91, 707,953.89 and 116,984.07 is: 175,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,977.91 : 707,953.89 = 116,984.07 : x
  2. Step 2: Convert to fraction form
    471,977.91/707,953.89 = 116,984.07/x
  3. Step 3: Cross multiply
    471,977.91x = 707,953.89 × 116,984.07
  4. Step 4: Simplify right side
    471,977.91x = 82,819,327,424.53
  5. Step 5: Solve for x
    x = 82,819,327,424.53/471,977.91
  6. Step 6: Final answer
    x = 175,472.89

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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.