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Finding the Fourth Proportional to 405,984.40, 608,976.60 and 384,211.60

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Solution

The fourth proportional to 405,984.40, 608,976.60 and 384,211.60 is: 576,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,984.40 : 608,976.60 = 384,211.60 : x
  2. Step 2: Convert to fraction form
    405,984.40/608,976.60 = 384,211.60/x
  3. Step 3: Cross multiply
    405,984.40x = 608,976.60 × 384,211.60
  4. Step 4: Simplify right side
    405,984.40x = 233,975,873,848.56
  5. Step 5: Solve for x
    x = 233,975,873,848.56/405,984.40
  6. Step 6: Final answer
    x = 576,317.40

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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.