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Finding the Fourth Proportional to 312,491.30, 468,737.52 and 112,952.56

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Solution

The fourth proportional to 312,491.30, 468,737.52 and 112,952.56 is: 169,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,491.30 : 468,737.52 = 112,952.56 : x
  2. Step 2: Convert to fraction form
    312,491.30/468,737.52 = 112,952.56/x
  3. Step 3: Cross multiply
    312,491.30x = 468,737.52 × 112,952.56
  4. Step 4: Simplify right side
    312,491.30x = 52,945,102,852.05
  5. Step 5: Solve for x
    x = 52,945,102,852.05/312,491.30
  6. Step 6: Final answer
    x = 169,429.05

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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.