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Finding the Fourth Proportional to 413,865.80, 620,712.30 and 177,216.20

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Solution

The fourth proportional to 413,865.80, 620,712.30 and 177,216.20 is: 265,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,865.80 : 620,712.30 = 177,216.20 : x
  2. Step 2: Convert to fraction form
    413,865.80/620,712.30 = 177,216.20/x
  3. Step 3: Cross multiply
    413,865.80x = 620,712.30 × 177,216.20
  4. Step 4: Simplify right side
    413,865.80x = 110,000,275,099.26
  5. Step 5: Solve for x
    x = 110,000,275,099.26/413,865.80
  6. Step 6: Final answer
    x = 265,787.30

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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.