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Finding the Fourth Proportional to 313,205.67, 432,224.96 and 169,965.68

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Solution

The fourth proportional to 313,205.67, 432,224.96 and 169,965.68 is: 234,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,205.67 : 432,224.96 = 169,965.68 : x
  2. Step 2: Convert to fraction form
    313,205.67/432,224.96 = 169,965.68/x
  3. Step 3: Cross multiply
    313,205.67x = 432,224.96 × 169,965.68
  4. Step 4: Simplify right side
    313,205.67x = 73,463,409,239.37
  5. Step 5: Solve for x
    x = 73,463,409,239.37/313,205.67
  6. Step 6: Final answer
    x = 234,553.25

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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.