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Finding the Fourth Proportional to 413,982.56, 620,454.36 and 177,046.64

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Solution

The fourth proportional to 413,982.56, 620,454.36 and 177,046.64 is: 265,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,982.56 : 620,454.36 = 177,046.64 : x
  2. Step 2: Convert to fraction form
    413,982.56/620,454.36 = 177,046.64/x
  3. Step 3: Cross multiply
    413,982.56x = 620,454.36 × 177,046.64
  4. Step 4: Simplify right side
    413,982.56x = 109,849,359,711.35
  5. Step 5: Solve for x
    x = 109,849,359,711.35/413,982.56
  6. Step 6: Final answer
    x = 265,347.80

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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.