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Finding the Fourth Proportional to 362,815.20, 544,384.80 and 126,327.60

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Solution

The fourth proportional to 362,815.20, 544,384.80 and 126,327.60 is: 189,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,815.20 : 544,384.80 = 126,327.60 : x
  2. Step 2: Convert to fraction form
    362,815.20/544,384.80 = 126,327.60/x
  3. Step 3: Cross multiply
    362,815.20x = 544,384.80 × 126,327.60
  4. Step 4: Simplify right side
    362,815.20x = 68,770,825,260.48
  5. Step 5: Solve for x
    x = 68,770,825,260.48/362,815.20
  6. Step 6: Final answer
    x = 189,547.81

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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.