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Finding the Fourth Proportional to 312,421.83, 468,535.86 and 112,716.27

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Solution

The fourth proportional to 312,421.83, 468,535.86 and 112,716.27 is: 169,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,421.83 : 468,535.86 = 112,716.27 : x
  2. Step 2: Convert to fraction form
    312,421.83/468,535.86 = 112,716.27/x
  3. Step 3: Cross multiply
    312,421.83x = 468,535.86 × 112,716.27
  4. Step 4: Simplify right side
    312,421.83x = 52,811,614,500.44
  5. Step 5: Solve for x
    x = 52,811,614,500.44/312,421.83
  6. Step 6: Final answer
    x = 169,039.45

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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.