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Finding the Fourth Proportional to 312,327.40, 431,011.86 and 169,088.62

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Solution

The fourth proportional to 312,327.40, 431,011.86 and 169,088.62 is: 233,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,327.40 : 431,011.86 = 169,088.62 : x
  2. Step 2: Convert to fraction form
    312,327.40/431,011.86 = 169,088.62/x
  3. Step 3: Cross multiply
    312,327.40x = 431,011.86 × 169,088.62
  4. Step 4: Simplify right side
    312,327.40x = 72,879,200,611.03
  5. Step 5: Solve for x
    x = 72,879,200,611.03/312,327.40
  6. Step 6: Final answer
    x = 233,342.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.