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Finding the Fourth Proportional to 313,185.64, 432,166.98 and 177,232

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Solution

The fourth proportional to 313,185.64, 432,166.98 and 177,232 is: 244,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,185.64 : 432,166.98 = 177,232 : x
  2. Step 2: Convert to fraction form
    313,185.64/432,166.98 = 177,232/x
  3. Step 3: Cross multiply
    313,185.64x = 432,166.98 × 177,232
  4. Step 4: Simplify right side
    313,185.64x = 76,593,818,199.36
  5. Step 5: Solve for x
    x = 76,593,818,199.36/313,185.64
  6. Step 6: Final answer
    x = 244,563.63

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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.