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Finding the Fourth Proportional to 541,141.29, 746,775.86 and 299,434.05

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Solution

The fourth proportional to 541,141.29, 746,775.86 and 299,434.05 is: 413,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,141.29 : 746,775.86 = 299,434.05 : x
  2. Step 2: Convert to fraction form
    541,141.29/746,775.86 = 299,434.05/x
  3. Step 3: Cross multiply
    541,141.29x = 746,775.86 × 299,434.05
  4. Step 4: Simplify right side
    541,141.29x = 223,610,118,704.86
  5. Step 5: Solve for x
    x = 223,610,118,704.86/541,141.29
  6. Step 6: Final answer
    x = 413,219.47

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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.