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Finding the Fourth Proportional to 541,146.54, 746,783.10 and 299,439.30

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Solution

The fourth proportional to 541,146.54, 746,783.10 and 299,439.30 is: 413,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,146.54 : 746,783.10 = 299,439.30 : x
  2. Step 2: Convert to fraction form
    541,146.54/746,783.10 = 299,439.30/x
  3. Step 3: Cross multiply
    541,146.54x = 746,783.10 × 299,439.30
  4. Step 4: Simplify right side
    541,146.54x = 223,616,208,715.83
  5. Step 5: Solve for x
    x = 223,616,208,715.83/541,146.54
  6. Step 6: Final answer
    x = 413,226.72

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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.