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Finding the Fourth Proportional to 405,916.01, 608,876.61 and 106,394

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Solution

The fourth proportional to 405,916.01, 608,876.61 and 106,394 is: 159,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,916.01 : 608,876.61 = 106,394 : x
  2. Step 2: Convert to fraction form
    405,916.01/608,876.61 = 106,394/x
  3. Step 3: Cross multiply
    405,916.01x = 608,876.61 × 106,394
  4. Step 4: Simplify right side
    405,916.01x = 64,780,818,044.34
  5. Step 5: Solve for x
    x = 64,780,818,044.34/405,916.01
  6. Step 6: Final answer
    x = 159,591.68

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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.