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Finding the Fourth Proportional to 417,847.40, 626,511.90 and 240,266.60

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Solution

The fourth proportional to 417,847.40, 626,511.90 and 240,266.60 is: 360,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,847.40 : 626,511.90 = 240,266.60 : x
  2. Step 2: Convert to fraction form
    417,847.40/626,511.90 = 240,266.60/x
  3. Step 3: Cross multiply
    417,847.40x = 626,511.90 × 240,266.60
  4. Step 4: Simplify right side
    417,847.40x = 150,529,884,072.54
  5. Step 5: Solve for x
    x = 150,529,884,072.54/417,847.40
  6. Step 6: Final answer
    x = 360,250.86

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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.