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Finding the Fourth Proportional to 382,643.20, 573,964.80 and 323,594.20

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Solution

The fourth proportional to 382,643.20, 573,964.80 and 323,594.20 is: 485,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,643.20 : 573,964.80 = 323,594.20 : x
  2. Step 2: Convert to fraction form
    382,643.20/573,964.80 = 323,594.20/x
  3. Step 3: Cross multiply
    382,643.20x = 573,964.80 × 323,594.20
  4. Step 4: Simplify right side
    382,643.20x = 185,731,680,284.16
  5. Step 5: Solve for x
    x = 185,731,680,284.16/382,643.20
  6. Step 6: Final answer
    x = 485,391.30

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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.