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Finding the Fourth Proportional to 382,625.40, 573,938.10 and 242,542.20

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Solution

The fourth proportional to 382,625.40, 573,938.10 and 242,542.20 is: 363,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,625.40 : 573,938.10 = 242,542.20 : x
  2. Step 2: Convert to fraction form
    382,625.40/573,938.10 = 242,542.20/x
  3. Step 3: Cross multiply
    382,625.40x = 573,938.10 × 242,542.20
  4. Step 4: Simplify right side
    382,625.40x = 139,204,209,437.82
  5. Step 5: Solve for x
    x = 139,204,209,437.82/382,625.40
  6. Step 6: Final answer
    x = 363,813.30

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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.