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Finding the Fourth Proportional to 542,900.59, 814,091.64 and 318,329.41

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Solution

The fourth proportional to 542,900.59, 814,091.64 and 318,329.41 is: 477,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,900.59 : 814,091.64 = 318,329.41 : x
  2. Step 2: Convert to fraction form
    542,900.59/814,091.64 = 318,329.41/x
  3. Step 3: Cross multiply
    542,900.59x = 814,091.64 × 318,329.41
  4. Step 4: Simplify right side
    542,900.59x = 259,149,311,447.13
  5. Step 5: Solve for x
    x = 259,149,311,447.13/542,900.59
  6. Step 6: Final answer
    x = 477,342.11

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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.