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Finding the Fourth Proportional to 313,242.64, 432,274.67 and 177,274.12

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Solution

The fourth proportional to 313,242.64, 432,274.67 and 177,274.12 is: 244,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,242.64 : 432,274.67 = 177,274.12 : x
  2. Step 2: Convert to fraction form
    313,242.64/432,274.67 = 177,274.12/x
  3. Step 3: Cross multiply
    313,242.64x = 432,274.67 × 177,274.12
  4. Step 4: Simplify right side
    313,242.64x = 76,631,112,227.94
  5. Step 5: Solve for x
    x = 76,631,112,227.94/313,242.64
  6. Step 6: Final answer
    x = 244,638.19

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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.