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Finding the Fourth Proportional to 369,379.67, 509,722.01 and 214,318.97

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Solution

The fourth proportional to 369,379.67, 509,722.01 and 214,318.97 is: 295,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,379.67 : 509,722.01 = 214,318.97 : x
  2. Step 2: Convert to fraction form
    369,379.67/509,722.01 = 214,318.97/x
  3. Step 3: Cross multiply
    369,379.67x = 509,722.01 × 214,318.97
  4. Step 4: Simplify right side
    369,379.67x = 109,243,093,823.63
  5. Step 5: Solve for x
    x = 109,243,093,823.63/369,379.67
  6. Step 6: Final answer
    x = 295,747.45

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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.