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Finding the Fourth Proportional to 313,274.86, 432,216.40 and 177,295.30

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Solution

The fourth proportional to 313,274.86, 432,216.40 and 177,295.30 is: 244,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,274.86 : 432,216.40 = 177,295.30 : x
  2. Step 2: Convert to fraction form
    313,274.86/432,216.40 = 177,295.30/x
  3. Step 3: Cross multiply
    313,274.86x = 432,216.40 × 177,295.30
  4. Step 4: Simplify right side
    313,274.86x = 76,629,936,302.92
  5. Step 5: Solve for x
    x = 76,629,936,302.92/313,274.86
  6. Step 6: Final answer
    x = 244,609.27

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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.