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Finding the Fourth Proportional to 382,407.40, 573,611.10 and 205,260.40

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Solution

The fourth proportional to 382,407.40, 573,611.10 and 205,260.40 is: 307,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,407.40 : 573,611.10 = 205,260.40 : x
  2. Step 2: Convert to fraction form
    382,407.40/573,611.10 = 205,260.40/x
  3. Step 3: Cross multiply
    382,407.40x = 573,611.10 × 205,260.40
  4. Step 4: Simplify right side
    382,407.40x = 117,739,643,830.44
  5. Step 5: Solve for x
    x = 117,739,643,830.44/382,407.40
  6. Step 6: Final answer
    x = 307,890.60

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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.