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Finding the Fourth Proportional to 332,214.60, 498,321.90 and 312,531.60

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Solution

The fourth proportional to 332,214.60, 498,321.90 and 312,531.60 is: 468,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,214.60 : 498,321.90 = 312,531.60 : x
  2. Step 2: Convert to fraction form
    332,214.60/498,321.90 = 312,531.60/x
  3. Step 3: Cross multiply
    332,214.60x = 498,321.90 × 312,531.60
  4. Step 4: Simplify right side
    332,214.60x = 155,741,340,722.04
  5. Step 5: Solve for x
    x = 155,741,340,722.04/332,214.60
  6. Step 6: Final answer
    x = 468,797.40

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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.