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Finding the Fourth Proportional to 313,523.60, 432,648.07 and 177,558.52

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Solution

The fourth proportional to 313,523.60, 432,648.07 and 177,558.52 is: 245,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,523.60 : 432,648.07 = 177,558.52 : x
  2. Step 2: Convert to fraction form
    313,523.60/432,648.07 = 177,558.52/x
  3. Step 3: Cross multiply
    313,523.60x = 432,648.07 × 177,558.52
  4. Step 4: Simplify right side
    313,523.60x = 76,820,352,592.46
  5. Step 5: Solve for x
    x = 76,820,352,592.46/313,523.60
  6. Step 6: Final answer
    x = 245,022.55

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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.