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Finding the Fourth Proportional to 333,905.67, 500,916.83 and 146,912.31

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Solution

The fourth proportional to 333,905.67, 500,916.83 and 146,912.31 is: 220,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,905.67 : 500,916.83 = 146,912.31 : x
  2. Step 2: Convert to fraction form
    333,905.67/500,916.83 = 146,912.31/x
  3. Step 3: Cross multiply
    333,905.67x = 500,916.83 × 146,912.31
  4. Step 4: Simplify right side
    333,905.67x = 73,590,848,613.18
  5. Step 5: Solve for x
    x = 73,590,848,613.18/333,905.67
  6. Step 6: Final answer
    x = 220,394.13

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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.