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Finding the Fourth Proportional to 332,200.40, 498,300.60 and 313,829.60

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Solution

The fourth proportional to 332,200.40, 498,300.60 and 313,829.60 is: 470,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,200.40 : 498,300.60 = 313,829.60 : x
  2. Step 2: Convert to fraction form
    332,200.40/498,300.60 = 313,829.60/x
  3. Step 3: Cross multiply
    332,200.40x = 498,300.60 × 313,829.60
  4. Step 4: Simplify right side
    332,200.40x = 156,381,477,977.76
  5. Step 5: Solve for x
    x = 156,381,477,977.76/332,200.40
  6. Step 6: Final answer
    x = 470,744.40

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1.5x scale

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.