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Finding the Fourth Proportional to 541,410.80, 747,137.84 and 299,688.17

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Solution

The fourth proportional to 541,410.80, 747,137.84 and 299,688.17 is: 413,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,410.80 : 747,137.84 = 299,688.17 : x
  2. Step 2: Convert to fraction form
    541,410.80/747,137.84 = 299,688.17/x
  3. Step 3: Cross multiply
    541,410.80x = 747,137.84 × 299,688.17
  4. Step 4: Simplify right side
    541,410.80x = 223,908,366,773.22
  5. Step 5: Solve for x
    x = 223,908,366,773.22/541,410.80
  6. Step 6: Final answer
    x = 413,564.65

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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.