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Finding the Fourth Proportional to 384,024.40, 576,036.60 and 218,136.40

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Solution

The fourth proportional to 384,024.40, 576,036.60 and 218,136.40 is: 327,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,024.40 : 576,036.60 = 218,136.40 : x
  2. Step 2: Convert to fraction form
    384,024.40/576,036.60 = 218,136.40/x
  3. Step 3: Cross multiply
    384,024.40x = 576,036.60 × 218,136.40
  4. Step 4: Simplify right side
    384,024.40x = 125,654,550,192.24
  5. Step 5: Solve for x
    x = 125,654,550,192.24/384,024.40
  6. Step 6: Final answer
    x = 327,204.60

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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.