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Finding the Fourth Proportional to 313,184.64, 432,165.60 and 177,231

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Solution

The fourth proportional to 313,184.64, 432,165.60 and 177,231 is: 244,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,184.64 : 432,165.60 = 177,231 : x
  2. Step 2: Convert to fraction form
    313,184.64/432,165.60 = 177,231/x
  3. Step 3: Cross multiply
    313,184.64x = 432,165.60 × 177,231
  4. Step 4: Simplify right side
    313,184.64x = 76,593,141,453.60
  5. Step 5: Solve for x
    x = 76,593,141,453.60/313,184.64
  6. Step 6: Final answer
    x = 244,562.25

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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.