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Finding the Fourth Proportional to 784,243, 1,176,364.50 and 193,267

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Solution

The fourth proportional to 784,243, 1,176,364.50 and 193,267 is: 289,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,243 : 1,176,364.50 = 193,267 : x
  2. Step 2: Convert to fraction form
    784,243/1,176,364.50 = 193,267/x
  3. Step 3: Cross multiply
    784,243x = 1,176,364.50 × 193,267
  4. Step 4: Simplify right side
    784,243x = 227,352,437,821.50
  5. Step 5: Solve for x
    x = 227,352,437,821.50/784,243
  6. Step 6: Final answer
    x = 289,900.50

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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.