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Finding the Fourth Proportional to 316,441.68, 436,688.78 and 173,200.47

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Solution

The fourth proportional to 316,441.68, 436,688.78 and 173,200.47 is: 239,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,441.68 : 436,688.78 = 173,200.47 : x
  2. Step 2: Convert to fraction form
    316,441.68/436,688.78 = 173,200.47/x
  3. Step 3: Cross multiply
    316,441.68x = 436,688.78 × 173,200.47
  4. Step 4: Simplify right side
    316,441.68x = 75,634,701,939.73
  5. Step 5: Solve for x
    x = 75,634,701,939.73/316,441.68
  6. Step 6: Final answer
    x = 239,016.24

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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.