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Finding the Fourth Proportional to 541,406.66, 747,132.14 and 299,684.05

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Solution

The fourth proportional to 541,406.66, 747,132.14 and 299,684.05 is: 413,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,406.66 : 747,132.14 = 299,684.05 : x
  2. Step 2: Convert to fraction form
    541,406.66/747,132.14 = 299,684.05/x
  3. Step 3: Cross multiply
    541,406.66x = 747,132.14 × 299,684.05
  4. Step 4: Simplify right side
    541,406.66x = 223,903,584,481.75
  5. Step 5: Solve for x
    x = 223,903,584,481.75/541,406.66
  6. Step 6: Final answer
    x = 413,558.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.