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Finding the Fourth Proportional to 431,292.80, 646,939.20 and 411,939.20

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Solution

The fourth proportional to 431,292.80, 646,939.20 and 411,939.20 is: 617,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,292.80 : 646,939.20 = 411,939.20 : x
  2. Step 2: Convert to fraction form
    431,292.80/646,939.20 = 411,939.20/x
  3. Step 3: Cross multiply
    431,292.80x = 646,939.20 × 411,939.20
  4. Step 4: Simplify right side
    431,292.80x = 266,499,616,496.64
  5. Step 5: Solve for x
    x = 266,499,616,496.64/431,292.80
  6. Step 6: Final answer
    x = 617,908.80

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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.