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Finding the Fourth Proportional to 382,964.80, 573,086.40 and 333,587.20

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Solution

The fourth proportional to 382,964.80, 573,086.40 and 333,587.20 is: 499,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,964.80 : 573,086.40 = 333,587.20 : x
  2. Step 2: Convert to fraction form
    382,964.80/573,086.40 = 333,587.20/x
  3. Step 3: Cross multiply
    382,964.80x = 573,086.40 × 333,587.20
  4. Step 4: Simplify right side
    382,964.80x = 191,174,287,534.08
  5. Step 5: Solve for x
    x = 191,174,287,534.08/382,964.80
  6. Step 6: Final answer
    x = 499,195.45

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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.