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Finding the Fourth Proportional to 541,454.89, 747,213.66 and 299,741.50

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Solution

The fourth proportional to 541,454.89, 747,213.66 and 299,741.50 is: 413,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,454.89 : 747,213.66 = 299,741.50 : x
  2. Step 2: Convert to fraction form
    541,454.89/747,213.66 = 299,741.50/x
  3. Step 3: Cross multiply
    541,454.89x = 747,213.66 × 299,741.50
  4. Step 4: Simplify right side
    541,454.89x = 223,970,943,268.89
  5. Step 5: Solve for x
    x = 223,970,943,268.89/541,454.89
  6. Step 6: Final answer
    x = 413,646.54

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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.