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Finding the Fourth Proportional to 599,686.80, 827,566.38 and 341,563.70

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Solution

The fourth proportional to 599,686.80, 827,566.38 and 341,563.70 is: 471,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,686.80 : 827,566.38 = 341,563.70 : x
  2. Step 2: Convert to fraction form
    599,686.80/827,566.38 = 341,563.70/x
  3. Step 3: Cross multiply
    599,686.80x = 827,566.38 × 341,563.70
  4. Step 4: Simplify right side
    599,686.80x = 282,666,630,610.57
  5. Step 5: Solve for x
    x = 282,666,630,610.57/599,686.80
  6. Step 6: Final answer
    x = 471,357.10

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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.