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Finding the Fourth Proportional to 313,205.59, 432,224.84 and 169,965.60

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Solution

The fourth proportional to 313,205.59, 432,224.84 and 169,965.60 is: 234,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,205.59 : 432,224.84 = 169,965.60 : x
  2. Step 2: Convert to fraction form
    313,205.59/432,224.84 = 169,965.60/x
  3. Step 3: Cross multiply
    313,205.59x = 432,224.84 × 169,965.60
  4. Step 4: Simplify right side
    313,205.59x = 73,463,354,265.50
  5. Step 5: Solve for x
    x = 73,463,354,265.50/313,205.59
  6. Step 6: Final answer
    x = 234,553.14

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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.