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Finding the Fourth Proportional to 585,234.10, 807,618.16 and 411,049.07

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Solution

The fourth proportional to 585,234.10, 807,618.16 and 411,049.07 is: 567,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,234.10 : 807,618.16 = 411,049.07 : x
  2. Step 2: Convert to fraction form
    585,234.10/807,618.16 = 411,049.07/x
  3. Step 3: Cross multiply
    585,234.10x = 807,618.16 × 411,049.07
  4. Step 4: Simplify right side
    585,234.10x = 331,970,693,583.11
  5. Step 5: Solve for x
    x = 331,970,693,583.11/585,234.10
  6. Step 6: Final answer
    x = 567,244.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.