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Finding the Fourth Proportional to 293,561.84, 440,276.52 and 135,704

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Solution

The fourth proportional to 293,561.84, 440,276.52 and 135,704 is: 203,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,561.84 : 440,276.52 = 135,704 : x
  2. Step 2: Convert to fraction form
    293,561.84/440,276.52 = 135,704/x
  3. Step 3: Cross multiply
    293,561.84x = 440,276.52 × 135,704
  4. Step 4: Simplify right side
    293,561.84x = 59,747,284,870.08
  5. Step 5: Solve for x
    x = 59,747,284,870.08/293,561.84
  6. Step 6: Final answer
    x = 203,525.38

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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.