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Finding the Fourth Proportional to 382,216.30, 573,324.45 and 97,906.30

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Solution

The fourth proportional to 382,216.30, 573,324.45 and 97,906.30 is: 146,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,216.30 : 573,324.45 = 97,906.30 : x
  2. Step 2: Convert to fraction form
    382,216.30/573,324.45 = 97,906.30/x
  3. Step 3: Cross multiply
    382,216.30x = 573,324.45 × 97,906.30
  4. Step 4: Simplify right side
    382,216.30x = 56,132,075,599.04
  5. Step 5: Solve for x
    x = 56,132,075,599.04/382,216.30
  6. Step 6: Final answer
    x = 146,859.45

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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.