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Finding the Fourth Proportional to 313,722.92, 432,954.16 and 177,783.24

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Solution

The fourth proportional to 313,722.92, 432,954.16 and 177,783.24 is: 245,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,722.92 : 432,954.16 = 177,783.24 : x
  2. Step 2: Convert to fraction form
    313,722.92/432,954.16 = 177,783.24/x
  3. Step 3: Cross multiply
    313,722.92x = 432,954.16 × 177,783.24
  4. Step 4: Simplify right side
    313,722.92x = 76,971,993,336.28
  5. Step 5: Solve for x
    x = 76,971,993,336.28/313,722.92
  6. Step 6: Final answer
    x = 245,350.24

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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.