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Finding the Fourth Proportional to 405,841.74, 608,789.33 and 106,329.66

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Solution

The fourth proportional to 405,841.74, 608,789.33 and 106,329.66 is: 159,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,841.74 : 608,789.33 = 106,329.66 : x
  2. Step 2: Convert to fraction form
    405,841.74/608,789.33 = 106,329.66/x
  3. Step 3: Cross multiply
    405,841.74x = 608,789.33 × 106,329.66
  4. Step 4: Simplify right side
    405,841.74x = 64,732,362,470.53
  5. Step 5: Solve for x
    x = 64,732,362,470.53/405,841.74
  6. Step 6: Final answer
    x = 159,501.49

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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.