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Finding the Fourth Proportional to 471,354.78, 707,033.63 and 116,368.84

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Solution

The fourth proportional to 471,354.78, 707,033.63 and 116,368.84 is: 174,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,354.78 : 707,033.63 = 116,368.84 : x
  2. Step 2: Convert to fraction form
    471,354.78/707,033.63 = 116,368.84/x
  3. Step 3: Cross multiply
    471,354.78x = 707,033.63 × 116,368.84
  4. Step 4: Simplify right side
    471,354.78x = 82,276,684,538.80
  5. Step 5: Solve for x
    x = 82,276,684,538.80/471,354.78
  6. Step 6: Final answer
    x = 174,553.62

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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.