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Finding the Fourth Proportional to 382,401.40, 573,602.10 and 216,513.40

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Solution

The fourth proportional to 382,401.40, 573,602.10 and 216,513.40 is: 324,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,401.40 : 573,602.10 = 216,513.40 : x
  2. Step 2: Convert to fraction form
    382,401.40/573,602.10 = 216,513.40/x
  3. Step 3: Cross multiply
    382,401.40x = 573,602.10 × 216,513.40
  4. Step 4: Simplify right side
    382,401.40x = 124,192,540,918.14
  5. Step 5: Solve for x
    x = 124,192,540,918.14/382,401.40
  6. Step 6: Final answer
    x = 324,770.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.