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Finding the Fourth Proportional to 417,999.20, 626,998.80 and 137,448.80

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Solution

The fourth proportional to 417,999.20, 626,998.80 and 137,448.80 is: 206,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,999.20 : 626,998.80 = 137,448.80 : x
  2. Step 2: Convert to fraction form
    417,999.20/626,998.80 = 137,448.80/x
  3. Step 3: Cross multiply
    417,999.20x = 626,998.80 × 137,448.80
  4. Step 4: Simplify right side
    417,999.20x = 86,180,232,661.44
  5. Step 5: Solve for x
    x = 86,180,232,661.44/417,999.20
  6. Step 6: Final answer
    x = 206,173.20

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1.5x scale

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.