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Finding the Fourth Proportional to 471,522.38, 707,276.64 and 116,536.43

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Solution

The fourth proportional to 471,522.38, 707,276.64 and 116,536.43 is: 174,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,522.38 : 707,276.64 = 116,536.43 : x
  2. Step 2: Convert to fraction form
    471,522.38/707,276.64 = 116,536.43/x
  3. Step 3: Cross multiply
    471,522.38x = 707,276.64 × 116,536.43
  4. Step 4: Simplify right side
    471,522.38x = 82,423,494,648.00
  5. Step 5: Solve for x
    x = 82,423,494,648.00/471,522.38
  6. Step 6: Final answer
    x = 174,802.93

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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.