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Finding the Fourth Proportional to 382,362.90, 573,209 and 145,548.06

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Solution

The fourth proportional to 382,362.90, 573,209 and 145,548.06 is: 218,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,362.90 : 573,209 = 145,548.06 : x
  2. Step 2: Convert to fraction form
    382,362.90/573,209 = 145,548.06/x
  3. Step 3: Cross multiply
    382,362.90x = 573,209 × 145,548.06
  4. Step 4: Simplify right side
    382,362.90x = 83,429,457,924.54
  5. Step 5: Solve for x
    x = 83,429,457,924.54/382,362.90
  6. Step 6: Final answer
    x = 218,194.44

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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.