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Finding the Fourth Proportional to 599,862.83, 827,811.41 and 345,214.22

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Solution

The fourth proportional to 599,862.83, 827,811.41 and 345,214.22 is: 476,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,862.83 : 827,811.41 = 345,214.22 : x
  2. Step 2: Convert to fraction form
    599,862.83/827,811.41 = 345,214.22/x
  3. Step 3: Cross multiply
    599,862.83x = 827,811.41 × 345,214.22
  4. Step 4: Simplify right side
    599,862.83x = 285,772,264,345.12
  5. Step 5: Solve for x
    x = 285,772,264,345.12/599,862.83
  6. Step 6: Final answer
    x = 476,396.02

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Why These Related Problems?

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