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Finding the Fourth Proportional to 273,890.80, 411,527.40 and 174,098.80

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Solution

The fourth proportional to 273,890.80, 411,527.40 and 174,098.80 is: 261,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,890.80 : 411,527.40 = 174,098.80 : x
  2. Step 2: Convert to fraction form
    273,890.80/411,527.40 = 174,098.80/x
  3. Step 3: Cross multiply
    273,890.80x = 411,527.40 × 174,098.80
  4. Step 4: Simplify right side
    273,890.80x = 71,646,426,507.12
  5. Step 5: Solve for x
    x = 71,646,426,507.12/273,890.80
  6. Step 6: Final answer
    x = 261,587.56

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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.