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Finding the Fourth Proportional to 289,599.96, 399,411 and 203,842.83

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Solution

The fourth proportional to 289,599.96, 399,411 and 203,842.83 is: 281,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,599.96 : 399,411 = 203,842.83 : x
  2. Step 2: Convert to fraction form
    289,599.96/399,411 = 203,842.83/x
  3. Step 3: Cross multiply
    289,599.96x = 399,411 × 203,842.83
  4. Step 4: Simplify right side
    289,599.96x = 81,417,068,573.13
  5. Step 5: Solve for x
    x = 81,417,068,573.13/289,599.96
  6. Step 6: Final answer
    x = 281,136.33

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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.