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Finding the Fourth Proportional to 312,436.80, 431,160.64 and 169,193.57

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Solution

The fourth proportional to 312,436.80, 431,160.64 and 169,193.57 is: 233,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,436.80 : 431,160.64 = 169,193.57 : x
  2. Step 2: Convert to fraction form
    312,436.80/431,160.64 = 169,193.57/x
  3. Step 3: Cross multiply
    312,436.80x = 431,160.64 × 169,193.57
  4. Step 4: Simplify right side
    312,436.80x = 72,949,605,346.30
  5. Step 5: Solve for x
    x = 72,949,605,346.30/312,436.80
  6. Step 6: Final answer
    x = 233,485.96

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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.