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Finding the Fourth Proportional to 410,890.20, 616,286.70 and 111,352.20

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Solution

The fourth proportional to 410,890.20, 616,286.70 and 111,352.20 is: 167,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,890.20 : 616,286.70 = 111,352.20 : x
  2. Step 2: Convert to fraction form
    410,890.20/616,286.70 = 111,352.20/x
  3. Step 3: Cross multiply
    410,890.20x = 616,286.70 × 111,352.20
  4. Step 4: Simplify right side
    410,890.20x = 68,624,879,875.74
  5. Step 5: Solve for x
    x = 68,624,879,875.74/410,890.20
  6. Step 6: Final answer
    x = 167,015.13

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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.