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Finding the Fourth Proportional to 405,842.31, 608,762.93 and 162,793.08

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Solution

The fourth proportional to 405,842.31, 608,762.93 and 162,793.08 is: 244,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,842.31 : 608,762.93 = 162,793.08 : x
  2. Step 2: Convert to fraction form
    405,842.31/608,762.93 = 162,793.08/x
  3. Step 3: Cross multiply
    405,842.31x = 608,762.93 × 162,793.08
  4. Step 4: Simplify right side
    405,842.31x = 99,102,391,550.56
  5. Step 5: Solve for x
    x = 99,102,391,550.56/405,842.31
  6. Step 6: Final answer
    x = 244,189.40

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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.