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Finding the Fourth Proportional to 411,348.80, 616,562.40 and 233,940.80

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Solution

The fourth proportional to 411,348.80, 616,562.40 and 233,940.80 is: 350,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,348.80 : 616,562.40 = 233,940.80 : x
  2. Step 2: Convert to fraction form
    411,348.80/616,562.40 = 233,940.80/x
  3. Step 3: Cross multiply
    411,348.80x = 616,562.40 × 233,940.80
  4. Step 4: Simplify right side
    411,348.80x = 144,239,101,105.92
  5. Step 5: Solve for x
    x = 144,239,101,105.92/411,348.80
  6. Step 6: Final answer
    x = 350,649.14

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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.