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Finding the Fourth Proportional to 413,950.55, 620,406.41 and 177,014.61

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Solution

The fourth proportional to 413,950.55, 620,406.41 and 177,014.61 is: 265,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,950.55 : 620,406.41 = 177,014.61 : x
  2. Step 2: Convert to fraction form
    413,950.55/620,406.41 = 177,014.61/x
  3. Step 3: Cross multiply
    413,950.55x = 620,406.41 × 177,014.61
  4. Step 4: Simplify right side
    413,950.55x = 109,820,997,822.58
  5. Step 5: Solve for x
    x = 109,820,997,822.58/413,950.55
  6. Step 6: Final answer
    x = 265,299.80

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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.