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Finding the Fourth Proportional to 405,842.24, 608,790.09 and 106,330.16

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Solution

The fourth proportional to 405,842.24, 608,790.09 and 106,330.16 is: 159,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,842.24 : 608,790.09 = 106,330.16 : x
  2. Step 2: Convert to fraction form
    405,842.24/608,790.09 = 106,330.16/x
  3. Step 3: Cross multiply
    405,842.24x = 608,790.09 × 106,330.16
  4. Step 4: Simplify right side
    405,842.24x = 64,732,744,632.16
  5. Step 5: Solve for x
    x = 64,732,744,632.16/405,842.24
  6. Step 6: Final answer
    x = 159,502.24

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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.