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Finding the Fourth Proportional to 382,097.80, 573,729.90 and 293,451.40

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Solution

The fourth proportional to 382,097.80, 573,729.90 and 293,451.40 is: 440,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,097.80 : 573,729.90 = 293,451.40 : x
  2. Step 2: Convert to fraction form
    382,097.80/573,729.90 = 293,451.40/x
  3. Step 3: Cross multiply
    382,097.80x = 573,729.90 × 293,451.40
  4. Step 4: Simplify right side
    382,097.80x = 168,361,842,376.86
  5. Step 5: Solve for x
    x = 168,361,842,376.86/382,097.80
  6. Step 6: Final answer
    x = 440,625.00

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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.