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Finding the Fourth Proportional to 312,358.86, 468,534.14 and 75,703.58

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Solution

The fourth proportional to 312,358.86, 468,534.14 and 75,703.58 is: 113,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,358.86 : 468,534.14 = 75,703.58 : x
  2. Step 2: Convert to fraction form
    312,358.86/468,534.14 = 75,703.58/x
  3. Step 3: Cross multiply
    312,358.86x = 468,534.14 × 75,703.58
  4. Step 4: Simplify right side
    312,358.86x = 35,469,711,750.22
  5. Step 5: Solve for x
    x = 35,469,711,750.22/312,358.86
  6. Step 6: Final answer
    x = 113,554.36

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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.