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Finding the Fourth Proportional to 399,022.71, 598,527.74 and 185,671.31

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Solution

The fourth proportional to 399,022.71, 598,527.74 and 185,671.31 is: 278,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,022.71 : 598,527.74 = 185,671.31 : x
  2. Step 2: Convert to fraction form
    399,022.71/598,527.74 = 185,671.31/x
  3. Step 3: Cross multiply
    399,022.71x = 598,527.74 × 185,671.31
  4. Step 4: Simplify right side
    399,022.71x = 111,129,425,636.14
  5. Step 5: Solve for x
    x = 111,129,425,636.14/399,022.71
  6. Step 6: Final answer
    x = 278,504.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.