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Finding the Fourth Proportional to 312,691.44, 469,030.68 and 76,035.36

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Solution

The fourth proportional to 312,691.44, 469,030.68 and 76,035.36 is: 114,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,691.44 : 469,030.68 = 76,035.36 : x
  2. Step 2: Convert to fraction form
    312,691.44/469,030.68 = 76,035.36/x
  3. Step 3: Cross multiply
    312,691.44x = 469,030.68 × 76,035.36
  4. Step 4: Simplify right side
    312,691.44x = 35,662,916,604.84
  5. Step 5: Solve for x
    x = 35,662,916,604.84/312,691.44
  6. Step 6: Final answer
    x = 114,051.46

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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.