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Finding the Fourth Proportional to 509,169.84, 762,592.14 and 243,117.12

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Solution

The fourth proportional to 509,169.84, 762,592.14 and 243,117.12 is: 364,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,169.84 : 762,592.14 = 243,117.12 : x
  2. Step 2: Convert to fraction form
    509,169.84/762,592.14 = 243,117.12/x
  3. Step 3: Cross multiply
    509,169.84x = 762,592.14 × 243,117.12
  4. Step 4: Simplify right side
    509,169.84x = 185,399,204,811.44
  5. Step 5: Solve for x
    x = 185,399,204,811.44/509,169.84
  6. Step 6: Final answer
    x = 364,120.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.