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Finding the Fourth Proportional to 409,744.74, 614,682.72 and 173,089.47

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Solution

The fourth proportional to 409,744.74, 614,682.72 and 173,089.47 is: 259,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,744.74 : 614,682.72 = 173,089.47 : x
  2. Step 2: Convert to fraction form
    409,744.74/614,682.72 = 173,089.47/x
  3. Step 3: Cross multiply
    409,744.74x = 614,682.72 × 173,089.47
  4. Step 4: Simplify right side
    409,744.74x = 106,395,106,222.96
  5. Step 5: Solve for x
    x = 106,395,106,222.96/409,744.74
  6. Step 6: Final answer
    x = 259,661.92

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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.