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Finding the Fourth Proportional to 402,014.82, 602,861.31 and 177,215.49

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Solution

The fourth proportional to 402,014.82, 602,861.31 and 177,215.49 is: 265,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,014.82 : 602,861.31 = 177,215.49 : x
  2. Step 2: Convert to fraction form
    402,014.82/602,861.31 = 177,215.49/x
  3. Step 3: Cross multiply
    402,014.82x = 602,861.31 × 177,215.49
  4. Step 4: Simplify right side
    402,014.82x = 106,836,362,453.69
  5. Step 5: Solve for x
    x = 106,836,362,453.69/402,014.82
  6. Step 6: Final answer
    x = 265,752.30

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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.