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Finding the Fourth Proportional to 313,082.25, 432,054.36 and 169,842.30

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Solution

The fourth proportional to 313,082.25, 432,054.36 and 169,842.30 is: 234,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,082.25 : 432,054.36 = 169,842.30 : x
  2. Step 2: Convert to fraction form
    313,082.25/432,054.36 = 169,842.30/x
  3. Step 3: Cross multiply
    313,082.25x = 432,054.36 × 169,842.30
  4. Step 4: Simplify right side
    313,082.25x = 73,381,106,227.43
  5. Step 5: Solve for x
    x = 73,381,106,227.43/313,082.25
  6. Step 6: Final answer
    x = 234,382.84

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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.