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Finding the Fourth Proportional to 412,212.96, 618,426.96 and 116,724.96

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Solution

The fourth proportional to 412,212.96, 618,426.96 and 116,724.96 is: 175,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,212.96 : 618,426.96 = 116,724.96 : x
  2. Step 2: Convert to fraction form
    412,212.96/618,426.96 = 116,724.96/x
  3. Step 3: Cross multiply
    412,212.96x = 618,426.96 × 116,724.96
  4. Step 4: Simplify right side
    412,212.96x = 72,185,862,168.92
  5. Step 5: Solve for x
    x = 72,185,862,168.92/412,212.96
  6. Step 6: Final answer
    x = 175,117.89

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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.