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Finding the Fourth Proportional to 374,083.47, 516,235.19 and 204,318

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Solution

The fourth proportional to 374,083.47, 516,235.19 and 204,318 is: 281,958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,083.47 : 516,235.19 = 204,318 : x
  2. Step 2: Convert to fraction form
    374,083.47/516,235.19 = 204,318/x
  3. Step 3: Cross multiply
    374,083.47x = 516,235.19 × 204,318
  4. Step 4: Simplify right side
    374,083.47x = 105,476,141,550.42
  5. Step 5: Solve for x
    x = 105,476,141,550.42/374,083.47
  6. Step 6: Final answer
    x = 281,958.84

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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.