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Finding the Fourth Proportional to 313,188.36, 432,193.93 and 177,219.83

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Solution

The fourth proportional to 313,188.36, 432,193.93 and 177,219.83 is: 244,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,188.36 : 432,193.93 = 177,219.83 : x
  2. Step 2: Convert to fraction form
    313,188.36/432,193.93 = 177,219.83/x
  3. Step 3: Cross multiply
    313,188.36x = 432,193.93 × 177,219.83
  4. Step 4: Simplify right side
    313,188.36x = 76,593,334,801.63
  5. Step 5: Solve for x
    x = 76,593,334,801.63/313,188.36
  6. Step 6: Final answer
    x = 244,559.97

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1.5x scale

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.