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Finding the Fourth Proportional to 313,504.73, 432,664.74 and 177,571.74

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Solution

The fourth proportional to 313,504.73, 432,664.74 and 177,571.74 is: 245,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,504.73 : 432,664.74 = 177,571.74 : x
  2. Step 2: Convert to fraction form
    313,504.73/432,664.74 = 177,571.74/x
  3. Step 3: Cross multiply
    313,504.73x = 432,664.74 × 177,571.74
  4. Step 4: Simplify right side
    313,504.73x = 76,829,030,718.45
  5. Step 5: Solve for x
    x = 76,829,030,718.45/313,504.73
  6. Step 6: Final answer
    x = 245,064.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.