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Finding the Fourth Proportional to 308,847.80, 463,271.70 and 218,646.20

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Solution

The fourth proportional to 308,847.80, 463,271.70 and 218,646.20 is: 327,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,847.80 : 463,271.70 = 218,646.20 : x
  2. Step 2: Convert to fraction form
    308,847.80/463,271.70 = 218,646.20/x
  3. Step 3: Cross multiply
    308,847.80x = 463,271.70 × 218,646.20
  4. Step 4: Simplify right side
    308,847.80x = 101,292,596,772.54
  5. Step 5: Solve for x
    x = 101,292,596,772.54/308,847.80
  6. Step 6: Final answer
    x = 327,969.30

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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.