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Finding the Fourth Proportional to 405,965.30, 608,429.55 and 312,005.30

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Solution

The fourth proportional to 405,965.30, 608,429.55 and 312,005.30 is: 467,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,965.30 : 608,429.55 = 312,005.30 : x
  2. Step 2: Convert to fraction form
    405,965.30/608,429.55 = 312,005.30/x
  3. Step 3: Cross multiply
    405,965.30x = 608,429.55 × 312,005.30
  4. Step 4: Simplify right side
    405,965.30x = 189,833,244,276.62
  5. Step 5: Solve for x
    x = 189,833,244,276.62/405,965.30
  6. Step 6: Final answer
    x = 467,609.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.