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Finding the Fourth Proportional to 382,240.15, 573,803.14 and 205,093.15

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Solution

The fourth proportional to 382,240.15, 573,803.14 and 205,093.15 is: 307,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,240.15 : 573,803.14 = 205,093.15 : x
  2. Step 2: Convert to fraction form
    382,240.15/573,803.14 = 205,093.15/x
  3. Step 3: Cross multiply
    382,240.15x = 573,803.14 × 205,093.15
  4. Step 4: Simplify right side
    382,240.15x = 117,683,091,899.80
  5. Step 5: Solve for x
    x = 117,683,091,899.80/382,240.15
  6. Step 6: Final answer
    x = 307,877.37

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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.