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Finding the Fourth Proportional to 312,365.88, 468,544.62 and 75,710.61

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Solution

The fourth proportional to 312,365.88, 468,544.62 and 75,710.61 is: 113,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,365.88 : 468,544.62 = 75,710.61 : x
  2. Step 2: Convert to fraction form
    312,365.88/468,544.62 = 75,710.61/x
  3. Step 3: Cross multiply
    312,365.88x = 468,544.62 × 75,710.61
  4. Step 4: Simplify right side
    312,365.88x = 35,473,798,992.42
  5. Step 5: Solve for x
    x = 35,473,798,992.42/312,365.88
  6. Step 6: Final answer
    x = 113,564.90

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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.