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Finding the Fourth Proportional to 275,407.68, 413,102.88 and 151,527.36

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Solution

The fourth proportional to 275,407.68, 413,102.88 and 151,527.36 is: 227,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,407.68 : 413,102.88 = 151,527.36 : x
  2. Step 2: Convert to fraction form
    275,407.68/413,102.88 = 151,527.36/x
  3. Step 3: Cross multiply
    275,407.68x = 413,102.88 × 151,527.36
  4. Step 4: Simplify right side
    275,407.68x = 62,596,388,814.80
  5. Step 5: Solve for x
    x = 62,596,388,814.80/275,407.68
  6. Step 6: Final answer
    x = 227,286.29

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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.