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Finding the Fourth Proportional to 399,012.07, 598,512.16 and 185,660.50

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Solution

The fourth proportional to 399,012.07, 598,512.16 and 185,660.50 is: 278,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,012.07 : 598,512.16 = 185,660.50 : x
  2. Step 2: Convert to fraction form
    399,012.07/598,512.16 = 185,660.50/x
  3. Step 3: Cross multiply
    399,012.07x = 598,512.16 × 185,660.50
  4. Step 4: Simplify right side
    399,012.07x = 111,120,066,881.68
  5. Step 5: Solve for x
    x = 111,120,066,881.68/399,012.07
  6. Step 6: Final answer
    x = 278,487.98

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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.