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Finding the Fourth Proportional to 399,265.86, 598,222.08 and 241,162.14

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Solution

The fourth proportional to 399,265.86, 598,222.08 and 241,162.14 is: 361,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,265.86 : 598,222.08 = 241,162.14 : x
  2. Step 2: Convert to fraction form
    399,265.86/598,222.08 = 241,162.14/x
  3. Step 3: Cross multiply
    399,265.86x = 598,222.08 × 241,162.14
  4. Step 4: Simplify right side
    399,265.86x = 144,268,517,008.05
  5. Step 5: Solve for x
    x = 144,268,517,008.05/399,265.86
  6. Step 6: Final answer
    x = 361,334.47

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Why These Related Problems?

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