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Finding the Fourth Proportional to 312,433.62, 431,158.80 and 169,193.88

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Solution

The fourth proportional to 312,433.62, 431,158.80 and 169,193.88 is: 233,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,433.62 : 431,158.80 = 169,193.88 : x
  2. Step 2: Convert to fraction form
    312,433.62/431,158.80 = 169,193.88/x
  3. Step 3: Cross multiply
    312,433.62x = 431,158.80 × 169,193.88
  4. Step 4: Simplify right side
    312,433.62x = 72,949,430,268.14
  5. Step 5: Solve for x
    x = 72,949,430,268.14/312,433.62
  6. Step 6: Final answer
    x = 233,487.77

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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.