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Finding the Fourth Proportional to 509,051.56, 762,695.33 and 308,952.67

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Solution

The fourth proportional to 509,051.56, 762,695.33 and 308,952.67 is: 462,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,051.56 : 762,695.33 = 308,952.67 : x
  2. Step 2: Convert to fraction form
    509,051.56/762,695.33 = 308,952.67/x
  3. Step 3: Cross multiply
    509,051.56x = 762,695.33 × 308,952.67
  4. Step 4: Simplify right side
    509,051.56x = 235,636,753,241.79
  5. Step 5: Solve for x
    x = 235,636,753,241.79/509,051.56
  6. Step 6: Final answer
    x = 462,893.69

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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.