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Finding the Fourth Proportional to 413,986.56, 620,460.24 and 177,050.64

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Solution

The fourth proportional to 413,986.56, 620,460.24 and 177,050.64 is: 265,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,986.56 : 620,460.24 = 177,050.64 : x
  2. Step 2: Convert to fraction form
    413,986.56/620,460.24 = 177,050.64/x
  3. Step 3: Cross multiply
    413,986.56x = 620,460.24 × 177,050.64
  4. Step 4: Simplify right side
    413,986.56x = 109,852,882,586.55
  5. Step 5: Solve for x
    x = 109,852,882,586.55/413,986.56
  6. Step 6: Final answer
    x = 265,353.74

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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.