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Finding the Fourth Proportional to 405,604.61, 608,360.43 and 106,114.09

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Solution

The fourth proportional to 405,604.61, 608,360.43 and 106,114.09 is: 159,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,604.61 : 608,360.43 = 106,114.09 : x
  2. Step 2: Convert to fraction form
    405,604.61/608,360.43 = 106,114.09/x
  3. Step 3: Cross multiply
    405,604.61x = 608,360.43 × 106,114.09
  4. Step 4: Simplify right side
    405,604.61x = 64,555,613,421.46
  5. Step 5: Solve for x
    x = 64,555,613,421.46/405,604.61
  6. Step 6: Final answer
    x = 159,158.97

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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.