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Finding the Fourth Proportional to 413,953.56, 620,410.89 and 177,017.61

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Solution

The fourth proportional to 413,953.56, 620,410.89 and 177,017.61 is: 265,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,953.56 : 620,410.89 = 177,017.61 : x
  2. Step 2: Convert to fraction form
    413,953.56/620,410.89 = 177,017.61/x
  3. Step 3: Cross multiply
    413,953.56x = 620,410.89 × 177,017.61
  4. Step 4: Simplify right side
    413,953.56x = 109,823,652,965.77
  5. Step 5: Solve for x
    x = 109,823,652,965.77/413,953.56
  6. Step 6: Final answer
    x = 265,304.28

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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.