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Finding the Fourth Proportional to 417,295.20, 626,288.40 and 193,000.80

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Solution

The fourth proportional to 417,295.20, 626,288.40 and 193,000.80 is: 289,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,295.20 : 626,288.40 = 193,000.80 : x
  2. Step 2: Convert to fraction form
    417,295.20/626,288.40 = 193,000.80/x
  3. Step 3: Cross multiply
    417,295.20x = 626,288.40 × 193,000.80
  4. Step 4: Simplify right side
    417,295.20x = 120,874,162,230.72
  5. Step 5: Solve for x
    x = 120,874,162,230.72/417,295.20
  6. Step 6: Final answer
    x = 289,661.04

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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.