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Finding the Fourth Proportional to 405,890.34, 608,871.34 and 106,369.74

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Solution

The fourth proportional to 405,890.34, 608,871.34 and 106,369.74 is: 159,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,890.34 : 608,871.34 = 106,369.74 : x
  2. Step 2: Convert to fraction form
    405,890.34/608,871.34 = 106,369.74/x
  3. Step 3: Cross multiply
    405,890.34x = 608,871.34 × 106,369.74
  4. Step 4: Simplify right side
    405,890.34x = 64,765,486,129.25
  5. Step 5: Solve for x
    x = 64,765,486,129.25/405,890.34
  6. Step 6: Final answer
    x = 159,564.00

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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.