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Finding the Fourth Proportional to 585,233.10, 807,616.78 and 411,048.07

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Solution

The fourth proportional to 585,233.10, 807,616.78 and 411,048.07 is: 567,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,233.10 : 807,616.78 = 411,048.07 : x
  2. Step 2: Convert to fraction form
    585,233.10/807,616.78 = 411,048.07/x
  3. Step 3: Cross multiply
    585,233.10x = 807,616.78 × 411,048.07
  4. Step 4: Simplify right side
    585,233.10x = 331,969,315,671.95
  5. Step 5: Solve for x
    x = 331,969,315,671.95/585,233.10
  6. Step 6: Final answer
    x = 567,242.89

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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.