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Finding the Fourth Proportional to 296,693.88, 444,873.14 and 116,835

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Solution

The fourth proportional to 296,693.88, 444,873.14 and 116,835 is: 175,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,693.88 : 444,873.14 = 116,835 : x
  2. Step 2: Convert to fraction form
    296,693.88/444,873.14 = 116,835/x
  3. Step 3: Cross multiply
    296,693.88x = 444,873.14 × 116,835
  4. Step 4: Simplify right side
    296,693.88x = 51,976,753,311.90
  5. Step 5: Solve for x
    x = 51,976,753,311.90/296,693.88
  6. Step 6: Final answer
    x = 175,186.47

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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.