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Finding the Fourth Proportional to 313,124, 432,112.20 and 169,884.68

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Solution

The fourth proportional to 313,124, 432,112.20 and 169,884.68 is: 234,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,124 : 432,112.20 = 169,884.68 : x
  2. Step 2: Convert to fraction form
    313,124/432,112.20 = 169,884.68/x
  3. Step 3: Cross multiply
    313,124x = 432,112.20 × 169,884.68
  4. Step 4: Simplify right side
    313,124x = 73,409,242,821.10
  5. Step 5: Solve for x
    x = 73,409,242,821.10/313,124
  6. Step 6: Final answer
    x = 234,441.44

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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.