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Finding the Fourth Proportional to 471,909.71, 707,584.58 and 187,447.30

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Solution

The fourth proportional to 471,909.71, 707,584.58 and 187,447.30 is: 281,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,909.71 : 707,584.58 = 187,447.30 : x
  2. Step 2: Convert to fraction form
    471,909.71/707,584.58 = 187,447.30/x
  3. Step 3: Cross multiply
    471,909.71x = 707,584.58 × 187,447.30
  4. Step 4: Simplify right side
    471,909.71x = 132,634,817,039.36
  5. Step 5: Solve for x
    x = 132,634,817,039.36/471,909.71
  6. Step 6: Final answer
    x = 281,059.73

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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.