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Finding the Fourth Proportional to 405,886.83, 608,866.10 and 106,366.25

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Solution

The fourth proportional to 405,886.83, 608,866.10 and 106,366.25 is: 159,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,886.83 : 608,866.10 = 106,366.25 : x
  2. Step 2: Convert to fraction form
    405,886.83/608,866.10 = 106,366.25/x
  3. Step 3: Cross multiply
    405,886.83x = 608,866.10 × 106,366.25
  4. Step 4: Simplify right side
    405,886.83x = 64,762,800,232.96
  5. Step 5: Solve for x
    x = 64,762,800,232.96/405,886.83
  6. Step 6: Final answer
    x = 159,558.76

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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.