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Finding the Fourth Proportional to 417,512.56, 626,212.80 and 118,020.24

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Solution

The fourth proportional to 417,512.56, 626,212.80 and 118,020.24 is: 177,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,512.56 : 626,212.80 = 118,020.24 : x
  2. Step 2: Convert to fraction form
    417,512.56/626,212.80 = 118,020.24/x
  3. Step 3: Cross multiply
    417,512.56x = 626,212.80 × 118,020.24
  4. Step 4: Simplify right side
    417,512.56x = 73,905,784,947.07
  5. Step 5: Solve for x
    x = 73,905,784,947.07/417,512.56
  6. Step 6: Final answer
    x = 177,014.52

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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.