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Finding the Fourth Proportional to 541,464.66, 811,309.23 and 383,409.36

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Solution

The fourth proportional to 541,464.66, 811,309.23 and 383,409.36 is: 574,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,464.66 : 811,309.23 = 383,409.36 : x
  2. Step 2: Convert to fraction form
    541,464.66/811,309.23 = 383,409.36/x
  3. Step 3: Cross multiply
    541,464.66x = 811,309.23 × 383,409.36
  4. Step 4: Simplify right side
    541,464.66x = 311,063,552,636.39
  5. Step 5: Solve for x
    x = 311,063,552,636.39/541,464.66
  6. Step 6: Final answer
    x = 574,485.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.