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Finding the Fourth Proportional to 332,205.40, 498,308.10 and 313,834.60

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Solution

The fourth proportional to 332,205.40, 498,308.10 and 313,834.60 is: 470,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,205.40 : 498,308.10 = 313,834.60 : x
  2. Step 2: Convert to fraction form
    332,205.40/498,308.10 = 313,834.60/x
  3. Step 3: Cross multiply
    332,205.40x = 498,308.10 × 313,834.60
  4. Step 4: Simplify right side
    332,205.40x = 156,386,323,240.26
  5. Step 5: Solve for x
    x = 156,386,323,240.26/332,205.40
  6. Step 6: Final answer
    x = 470,751.90

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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.