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Finding the Fourth Proportional to 361,780.94, 542,996.68 and 193,445.16

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Solution

The fourth proportional to 361,780.94, 542,996.68 and 193,445.16 is: 290,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,780.94 : 542,996.68 = 193,445.16 : x
  2. Step 2: Convert to fraction form
    361,780.94/542,996.68 = 193,445.16/x
  3. Step 3: Cross multiply
    361,780.94x = 542,996.68 × 193,445.16
  4. Step 4: Simplify right side
    361,780.94x = 105,040,079,723.19
  5. Step 5: Solve for x
    x = 105,040,079,723.19/361,780.94
  6. Step 6: Final answer
    x = 290,341.66

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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.