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Finding the Fourth Proportional to 354,641.80, 531,519.10 and 177,198.60

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Solution

The fourth proportional to 354,641.80, 531,519.10 and 177,198.60 is: 265,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,641.80 : 531,519.10 = 177,198.60 : x
  2. Step 2: Convert to fraction form
    354,641.80/531,519.10 = 177,198.60/x
  3. Step 3: Cross multiply
    354,641.80x = 531,519.10 × 177,198.60
  4. Step 4: Simplify right side
    354,641.80x = 94,184,440,393.26
  5. Step 5: Solve for x
    x = 94,184,440,393.26/354,641.80
  6. Step 6: Final answer
    x = 265,576.25

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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.