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Finding the Fourth Proportional to 462,930.20, 638,586.46 and 269,316.16

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Solution

The fourth proportional to 462,930.20, 638,586.46 and 269,316.16 is: 371,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,930.20 : 638,586.46 = 269,316.16 : x
  2. Step 2: Convert to fraction form
    462,930.20/638,586.46 = 269,316.16/x
  3. Step 3: Cross multiply
    462,930.20x = 638,586.46 × 269,316.16
  4. Step 4: Simplify right side
    462,930.20x = 171,981,653,235.19
  5. Step 5: Solve for x
    x = 171,981,653,235.19/462,930.20
  6. Step 6: Final answer
    x = 371,506.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.