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Finding the Fourth Proportional to 411,490.81, 617,498.64 and 174,833.56

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Solution

The fourth proportional to 411,490.81, 617,498.64 and 174,833.56 is: 262,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,490.81 : 617,498.64 = 174,833.56 : x
  2. Step 2: Convert to fraction form
    411,490.81/617,498.64 = 174,833.56/x
  3. Step 3: Cross multiply
    411,490.81x = 617,498.64 × 174,833.56
  4. Step 4: Simplify right side
    411,490.81x = 107,959,485,526.36
  5. Step 5: Solve for x
    x = 107,959,485,526.36/411,490.81
  6. Step 6: Final answer
    x = 262,361.84

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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.