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Finding the Fourth Proportional to 354,530.80, 531,352.72 and 177,087.34

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Solution

The fourth proportional to 354,530.80, 531,352.72 and 177,087.34 is: 265,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,530.80 : 531,352.72 = 177,087.34 : x
  2. Step 2: Convert to fraction form
    354,530.80/531,352.72 = 177,087.34/x
  3. Step 3: Cross multiply
    354,530.80x = 531,352.72 × 177,087.34
  4. Step 4: Simplify right side
    354,530.80x = 94,095,839,786.56
  5. Step 5: Solve for x
    x = 94,095,839,786.56/354,530.80
  6. Step 6: Final answer
    x = 265,409.49

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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.